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Finding the Fourth Proportional to 461,608.80, 692,542.80 and 224,959.20

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Solution

The fourth proportional to 461,608.80, 692,542.80 and 224,959.20 is: 337,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,608.80 : 692,542.80 = 224,959.20 : x
  2. Step 2: Convert to fraction form
    461,608.80/692,542.80 = 224,959.20/x
  3. Step 3: Cross multiply
    461,608.80x = 692,542.80 × 224,959.20
  4. Step 4: Simplify right side
    461,608.80x = 155,793,874,253.76
  5. Step 5: Solve for x
    x = 155,793,874,253.76/461,608.80
  6. Step 6: Final answer
    x = 337,501.96

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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.