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Finding the Fourth Proportional to 381,708.60, 572,562.90 and 171,756.60

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Solution

The fourth proportional to 381,708.60, 572,562.90 and 171,756.60 is: 257,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708.60 : 572,562.90 = 171,756.60 : x
  2. Step 2: Convert to fraction form
    381,708.60/572,562.90 = 171,756.60/x
  3. Step 3: Cross multiply
    381,708.60x = 572,562.90 × 171,756.60
  4. Step 4: Simplify right side
    381,708.60x = 98,341,456,990.14
  5. Step 5: Solve for x
    x = 98,341,456,990.14/381,708.60
  6. Step 6: Final answer
    x = 257,634.90

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Why These Related Problems?

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