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Finding the Fourth Proportional to 412,617.10, 569,411.13 and 231,329.08

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Solution

The fourth proportional to 412,617.10, 569,411.13 and 231,329.08 is: 319,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,617.10 : 569,411.13 = 231,329.08 : x
  2. Step 2: Convert to fraction form
    412,617.10/569,411.13 = 231,329.08/x
  3. Step 3: Cross multiply
    412,617.10x = 569,411.13 × 231,329.08
  4. Step 4: Simplify right side
    412,617.10x = 131,721,352,844.66
  5. Step 5: Solve for x
    x = 131,721,352,844.66/412,617.10
  6. Step 6: Final answer
    x = 319,233.87

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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.