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Finding the Fourth Proportional to 524,456.38, 786,685.50 and 224,742.58

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Solution

The fourth proportional to 524,456.38, 786,685.50 and 224,742.58 is: 337,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,456.38 : 786,685.50 = 224,742.58 : x
  2. Step 2: Convert to fraction form
    524,456.38/786,685.50 = 224,742.58/x
  3. Step 3: Cross multiply
    524,456.38x = 786,685.50 × 224,742.58
  4. Step 4: Simplify right side
    524,456.38x = 176,801,728,918.59
  5. Step 5: Solve for x
    x = 176,801,728,918.59/524,456.38
  6. Step 6: Final answer
    x = 337,114.27

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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.