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Finding the Fourth Proportional to 524,741.40, 787,112.10 and 419,765.40

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Solution

The fourth proportional to 524,741.40, 787,112.10 and 419,765.40 is: 629,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,741.40 : 787,112.10 = 419,765.40 : x
  2. Step 2: Convert to fraction form
    524,741.40/787,112.10 = 419,765.40/x
  3. Step 3: Cross multiply
    524,741.40x = 787,112.10 × 419,765.40
  4. Step 4: Simplify right side
    524,741.40x = 330,402,425,501.34
  5. Step 5: Solve for x
    x = 330,402,425,501.34/524,741.40
  6. Step 6: Final answer
    x = 629,648.10

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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.