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Finding the Fourth Proportional to 257,723.46, 386,429.84 and 115,543

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Solution

The fourth proportional to 257,723.46, 386,429.84 and 115,543 is: 173,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,723.46 : 386,429.84 = 115,543 : x
  2. Step 2: Convert to fraction form
    257,723.46/386,429.84 = 115,543/x
  3. Step 3: Cross multiply
    257,723.46x = 386,429.84 × 115,543
  4. Step 4: Simplify right side
    257,723.46x = 44,649,263,003.12
  5. Step 5: Solve for x
    x = 44,649,263,003.12/257,723.46
  6. Step 6: Final answer
    x = 173,244.85

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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.