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Finding the Fourth Proportional to 312,729.60, 468,946.56 and 113,011.20

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Solution

The fourth proportional to 312,729.60, 468,946.56 and 113,011.20 is: 169,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.60 : 468,946.56 = 113,011.20 : x
  2. Step 2: Convert to fraction form
    312,729.60/468,946.56 = 113,011.20/x
  3. Step 3: Cross multiply
    312,729.60x = 468,946.56 × 113,011.20
  4. Step 4: Simplify right side
    312,729.60x = 52,996,213,481.47
  5. Step 5: Solve for x
    x = 52,996,213,481.47/312,729.60
  6. Step 6: Final answer
    x = 169,463.38

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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.