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Finding the Fourth Proportional to 420,603.27, 580,429.55 and 229,616.66

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Solution

The fourth proportional to 420,603.27, 580,429.55 and 229,616.66 is: 316,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603.27 : 580,429.55 = 229,616.66 : x
  2. Step 2: Convert to fraction form
    420,603.27/580,429.55 = 229,616.66/x
  3. Step 3: Cross multiply
    420,603.27x = 580,429.55 × 229,616.66
  4. Step 4: Simplify right side
    420,603.27x = 133,276,293,396.50
  5. Step 5: Solve for x
    x = 133,276,293,396.50/420,603.27
  6. Step 6: Final answer
    x = 316,869.37

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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.