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Finding the Fourth Proportional to 310,949.50, 466,405.71 and 182,937.70

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Solution

The fourth proportional to 310,949.50, 466,405.71 and 182,937.70 is: 274,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,949.50 : 466,405.71 = 182,937.70 : x
  2. Step 2: Convert to fraction form
    310,949.50/466,405.71 = 182,937.70/x
  3. Step 3: Cross multiply
    310,949.50x = 466,405.71 × 182,937.70
  4. Step 4: Simplify right side
    310,949.50x = 85,323,187,854.27
  5. Step 5: Solve for x
    x = 85,323,187,854.27/310,949.50
  6. Step 6: Final answer
    x = 274,395.64

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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.