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Finding the Fourth Proportional to 420,617.07, 580,429.62 and 229,593.57

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Solution

The fourth proportional to 420,617.07, 580,429.62 and 229,593.57 is: 316,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,617.07 : 580,429.62 = 229,593.57 : x
  2. Step 2: Convert to fraction form
    420,617.07/580,429.62 = 229,593.57/x
  3. Step 3: Cross multiply
    420,617.07x = 580,429.62 × 229,593.57
  4. Step 4: Simplify right side
    420,617.07x = 133,262,908,589.54
  5. Step 5: Solve for x
    x = 133,262,908,589.54/420,617.07
  6. Step 6: Final answer
    x = 316,827.15

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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.