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Finding the Fourth Proportional to 434,694.80, 652,042.20 and 224,742.80

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Solution

The fourth proportional to 434,694.80, 652,042.20 and 224,742.80 is: 337,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,694.80 : 652,042.20 = 224,742.80 : x
  2. Step 2: Convert to fraction form
    434,694.80/652,042.20 = 224,742.80/x
  3. Step 3: Cross multiply
    434,694.80x = 652,042.20 × 224,742.80
  4. Step 4: Simplify right side
    434,694.80x = 146,541,789,746.16
  5. Step 5: Solve for x
    x = 146,541,789,746.16/434,694.80
  6. Step 6: Final answer
    x = 337,114.20

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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.