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Finding the Fourth Proportional to 412,582.62, 569,411.22 and 231,343.50

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Solution

The fourth proportional to 412,582.62, 569,411.22 and 231,343.50 is: 319,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,582.62 : 569,411.22 = 231,343.50 : x
  2. Step 2: Convert to fraction form
    412,582.62/569,411.22 = 231,343.50/x
  3. Step 3: Cross multiply
    412,582.62x = 569,411.22 × 231,343.50
  4. Step 4: Simplify right side
    412,582.62x = 131,729,584,574.07
  5. Step 5: Solve for x
    x = 131,729,584,574.07/412,582.62
  6. Step 6: Final answer
    x = 319,280.50

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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.