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Finding the Fourth Proportional to 262,432.69, 393,414.59 and 102,471.41

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Solution

The fourth proportional to 262,432.69, 393,414.59 and 102,471.41 is: 153,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,432.69 : 393,414.59 = 102,471.41 : x
  2. Step 2: Convert to fraction form
    262,432.69/393,414.59 = 102,471.41/x
  3. Step 3: Cross multiply
    262,432.69x = 393,414.59 × 102,471.41
  4. Step 4: Simplify right side
    262,432.69x = 40,313,748,991.59
  5. Step 5: Solve for x
    x = 40,313,748,991.59/262,432.69
  6. Step 6: Final answer
    x = 153,615.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.