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Finding the Fourth Proportional to 524,675.40, 787,013.10 and 419,699.40

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Solution

The fourth proportional to 524,675.40, 787,013.10 and 419,699.40 is: 629,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,675.40 : 787,013.10 = 419,699.40 : x
  2. Step 2: Convert to fraction form
    524,675.40/787,013.10 = 419,699.40/x
  3. Step 3: Cross multiply
    524,675.40x = 787,013.10 × 419,699.40
  4. Step 4: Simplify right side
    524,675.40x = 330,308,925,862.14
  5. Step 5: Solve for x
    x = 330,308,925,862.14/524,675.40
  6. Step 6: Final answer
    x = 629,549.10

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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.