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Finding the Fourth Proportional to 413,294.46, 570,337.97 and 229,523.28

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Solution

The fourth proportional to 413,294.46, 570,337.97 and 229,523.28 is: 316,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,294.46 : 570,337.97 = 229,523.28 : x
  2. Step 2: Convert to fraction form
    413,294.46/570,337.97 = 229,523.28/x
  3. Step 3: Cross multiply
    413,294.46x = 570,337.97 × 229,523.28
  4. Step 4: Simplify right side
    413,294.46x = 130,905,841,582.94
  5. Step 5: Solve for x
    x = 130,905,841,582.94/413,294.46
  6. Step 6: Final answer
    x = 316,737.47

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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.