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Finding the Fourth Proportional to 420,614.08, 580,425.47 and 229,590.56

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Solution

The fourth proportional to 420,614.08, 580,425.47 and 229,590.56 is: 316,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,614.08 : 580,425.47 = 229,590.56 : x
  2. Step 2: Convert to fraction form
    420,614.08/580,425.47 = 229,590.56/x
  3. Step 3: Cross multiply
    420,614.08x = 580,425.47 × 229,590.56
  4. Step 4: Simplify right side
    420,614.08x = 133,260,209,859.64
  5. Step 5: Solve for x
    x = 133,260,209,859.64/420,614.08
  6. Step 6: Final answer
    x = 316,822.99

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