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Finding the Fourth Proportional to 410,640.38, 566,677.78 and 229,354.89

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Solution

The fourth proportional to 410,640.38, 566,677.78 and 229,354.89 is: 316,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,640.38 : 566,677.78 = 229,354.89 : x
  2. Step 2: Convert to fraction form
    410,640.38/566,677.78 = 229,354.89/x
  3. Step 3: Cross multiply
    410,640.38x = 566,677.78 × 229,354.89
  4. Step 4: Simplify right side
    410,640.38x = 129,970,319,897.34
  5. Step 5: Solve for x
    x = 129,970,319,897.34/410,640.38
  6. Step 6: Final answer
    x = 316,506.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.