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Finding the Fourth Proportional to 384,877.71, 577,422.27 and 160,343.28

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Solution

The fourth proportional to 384,877.71, 577,422.27 and 160,343.28 is: 240,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,877.71 : 577,422.27 = 160,343.28 : x
  2. Step 2: Convert to fraction form
    384,877.71/577,422.27 = 160,343.28/x
  3. Step 3: Cross multiply
    384,877.71x = 577,422.27 × 160,343.28
  4. Step 4: Simplify right side
    384,877.71x = 92,585,780,716.85
  5. Step 5: Solve for x
    x = 92,585,780,716.85/384,877.71
  6. Step 6: Final answer
    x = 240,558.96

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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.