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Finding the Fourth Proportional to 310,214.28, 465,414.84 and 110,508.60

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Solution

The fourth proportional to 310,214.28, 465,414.84 and 110,508.60 is: 165,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,214.28 : 465,414.84 = 110,508.60 : x
  2. Step 2: Convert to fraction form
    310,214.28/465,414.84 = 110,508.60/x
  3. Step 3: Cross multiply
    310,214.28x = 465,414.84 × 110,508.60
  4. Step 4: Simplify right side
    310,214.28x = 51,432,342,387.62
  5. Step 5: Solve for x
    x = 51,432,342,387.62/310,214.28
  6. Step 6: Final answer
    x = 165,796.18

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1.5x scale

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.