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Finding the Fourth Proportional to 420,897.65, 580,694.69 and 239,564.21

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Solution

The fourth proportional to 420,897.65, 580,694.69 and 239,564.21 is: 330,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,897.65 : 580,694.69 = 239,564.21 : x
  2. Step 2: Convert to fraction form
    420,897.65/580,694.69 = 239,564.21/x
  3. Step 3: Cross multiply
    420,897.65x = 580,694.69 × 239,564.21
  4. Step 4: Simplify right side
    420,897.65x = 139,113,663,463.22
  5. Step 5: Solve for x
    x = 139,113,663,463.22/420,897.65
  6. Step 6: Final answer
    x = 330,516.61

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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.