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Finding the Fourth Proportional to 420,613.96, 580,425.30 and 229,590.44

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Solution

The fourth proportional to 420,613.96, 580,425.30 and 229,590.44 is: 316,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,613.96 : 580,425.30 = 229,590.44 : x
  2. Step 2: Convert to fraction form
    420,613.96/580,425.30 = 229,590.44/x
  3. Step 3: Cross multiply
    420,613.96x = 580,425.30 × 229,590.44
  4. Step 4: Simplify right side
    420,613.96x = 133,260,100,014.13
  5. Step 5: Solve for x
    x = 133,260,100,014.13/420,613.96
  6. Step 6: Final answer
    x = 316,822.82

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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.