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Finding the Fourth Proportional to 413,384.96, 570,451.96 and 229,635.43

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Solution

The fourth proportional to 413,384.96, 570,451.96 and 229,635.43 is: 316,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,384.96 : 570,451.96 = 229,635.43 : x
  2. Step 2: Convert to fraction form
    413,384.96/570,451.96 = 229,635.43/x
  3. Step 3: Cross multiply
    413,384.96x = 570,451.96 × 229,635.43
  4. Step 4: Simplify right side
    413,384.96x = 130,995,982,337.52
  5. Step 5: Solve for x
    x = 130,995,982,337.52/413,384.96
  6. Step 6: Final answer
    x = 316,886.19

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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.