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Finding the Fourth Proportional to 412,721.47, 569,314.33 and 259,517.10

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Solution

The fourth proportional to 412,721.47, 569,314.33 and 259,517.10 is: 357,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,721.47 : 569,314.33 = 259,517.10 : x
  2. Step 2: Convert to fraction form
    412,721.47/569,314.33 = 259,517.10/x
  3. Step 3: Cross multiply
    412,721.47x = 569,314.33 × 259,517.10
  4. Step 4: Simplify right side
    412,721.47x = 147,746,803,261.25
  5. Step 5: Solve for x
    x = 147,746,803,261.25/412,721.47
  6. Step 6: Final answer
    x = 357,981.87

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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.