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Finding the Fourth Proportional to 312,729.60, 469,227.24 and 154,961.04

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Solution

The fourth proportional to 312,729.60, 469,227.24 and 154,961.04 is: 232,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.60 : 469,227.24 = 154,961.04 : x
  2. Step 2: Convert to fraction form
    312,729.60/469,227.24 = 154,961.04/x
  3. Step 3: Cross multiply
    312,729.60x = 469,227.24 × 154,961.04
  4. Step 4: Simplify right side
    312,729.60x = 72,711,941,106.73
  5. Step 5: Solve for x
    x = 72,711,941,106.73/312,729.60
  6. Step 6: Final answer
    x = 232,507.38

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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.