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Finding the Fourth Proportional to 524,651.40, 786,977.10 and 419,675.40

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Solution

The fourth proportional to 524,651.40, 786,977.10 and 419,675.40 is: 629,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,651.40 : 786,977.10 = 419,675.40 : x
  2. Step 2: Convert to fraction form
    524,651.40/786,977.10 = 419,675.40/x
  3. Step 3: Cross multiply
    524,651.40x = 786,977.10 × 419,675.40
  4. Step 4: Simplify right side
    524,651.40x = 330,274,929,233.34
  5. Step 5: Solve for x
    x = 330,274,929,233.34/524,651.40
  6. Step 6: Final answer
    x = 629,513.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.