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Finding the Fourth Proportional to 420,418.96, 580,175 and 229,428.16

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Solution

The fourth proportional to 420,418.96, 580,175 and 229,428.16 is: 316,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,418.96 : 580,175 = 229,428.16 : x
  2. Step 2: Convert to fraction form
    420,418.96/580,175 = 229,428.16/x
  3. Step 3: Cross multiply
    420,418.96x = 580,175 × 229,428.16
  4. Step 4: Simplify right side
    420,418.96x = 133,108,482,728
  5. Step 5: Solve for x
    x = 133,108,482,728/420,418.96
  6. Step 6: Final answer
    x = 316,609.13

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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.