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Finding the Fourth Proportional to 415,861.66, 573,892.52 and 229,599.12

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Solution

The fourth proportional to 415,861.66, 573,892.52 and 229,599.12 is: 316,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,861.66 : 573,892.52 = 229,599.12 : x
  2. Step 2: Convert to fraction form
    415,861.66/573,892.52 = 229,599.12/x
  3. Step 3: Cross multiply
    415,861.66x = 573,892.52 × 229,599.12
  4. Step 4: Simplify right side
    415,861.66x = 131,765,217,566.58
  5. Step 5: Solve for x
    x = 131,765,217,566.58/415,861.66
  6. Step 6: Final answer
    x = 316,848.68

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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.