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Finding the Fourth Proportional to 264,543.92, 396,401.13 and 224,938.16

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Solution

The fourth proportional to 264,543.92, 396,401.13 and 224,938.16 is: 337,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,543.92 : 396,401.13 = 224,938.16 : x
  2. Step 2: Convert to fraction form
    264,543.92/396,401.13 = 224,938.16/x
  3. Step 3: Cross multiply
    264,543.92x = 396,401.13 × 224,938.16
  4. Step 4: Simplify right side
    264,543.92x = 89,165,740,804.12
  5. Step 5: Solve for x
    x = 89,165,740,804.12/264,543.92
  6. Step 6: Final answer
    x = 337,054.58

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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.