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Finding the Fourth Proportional to 384,726.50, 577,099.61 and 182,275.20

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Solution

The fourth proportional to 384,726.50, 577,099.61 and 182,275.20 is: 273,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,726.50 : 577,099.61 = 182,275.20 : x
  2. Step 2: Convert to fraction form
    384,726.50/577,099.61 = 182,275.20/x
  3. Step 3: Cross multiply
    384,726.50x = 577,099.61 × 182,275.20
  4. Step 4: Simplify right side
    384,726.50x = 105,190,945,921.30
  5. Step 5: Solve for x
    x = 105,190,945,921.30/384,726.50
  6. Step 6: Final answer
    x = 273,417.47

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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.