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Finding the Fourth Proportional to 310,884.90, 466,327.35 and 111,193.17

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Solution

The fourth proportional to 310,884.90, 466,327.35 and 111,193.17 is: 166,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,884.90 : 466,327.35 = 111,193.17 : x
  2. Step 2: Convert to fraction form
    310,884.90/466,327.35 = 111,193.17/x
  3. Step 3: Cross multiply
    310,884.90x = 466,327.35 × 111,193.17
  4. Step 4: Simplify right side
    310,884.90x = 51,852,416,304.20
  5. Step 5: Solve for x
    x = 51,852,416,304.20/310,884.90
  6. Step 6: Final answer
    x = 166,789.76

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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.