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Finding the Fourth Proportional to 257,586.47, 384,503.51 and 238,591.52

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Solution

The fourth proportional to 257,586.47, 384,503.51 and 238,591.52 is: 356,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586.47 : 384,503.51 = 238,591.52 : x
  2. Step 2: Convert to fraction form
    257,586.47/384,503.51 = 238,591.52/x
  3. Step 3: Cross multiply
    257,586.47x = 384,503.51 × 238,591.52
  4. Step 4: Simplify right side
    257,586.47x = 91,739,275,703.28
  5. Step 5: Solve for x
    x = 91,739,275,703.28/257,586.47
  6. Step 6: Final answer
    x = 356,149.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.