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Finding the Fourth Proportional to 524,407.68, 786,612.24 and 224,694

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Solution

The fourth proportional to 524,407.68, 786,612.24 and 224,694 is: 337,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,407.68 : 786,612.24 = 224,694 : x
  2. Step 2: Convert to fraction form
    524,407.68/786,612.24 = 224,694/x
  3. Step 3: Cross multiply
    524,407.68x = 786,612.24 × 224,694
  4. Step 4: Simplify right side
    524,407.68x = 176,747,050,654.56
  5. Step 5: Solve for x
    x = 176,747,050,654.56/524,407.68
  6. Step 6: Final answer
    x = 337,041.31

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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.