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Finding the Fourth Proportional to 316,854.90, 475,313.40 and 92,217.60

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Solution

The fourth proportional to 316,854.90, 475,313.40 and 92,217.60 is: 138,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,854.90 : 475,313.40 = 92,217.60 : x
  2. Step 2: Convert to fraction form
    316,854.90/475,313.40 = 92,217.60/x
  3. Step 3: Cross multiply
    316,854.90x = 475,313.40 × 92,217.60
  4. Step 4: Simplify right side
    316,854.90x = 43,832,260,995.84
  5. Step 5: Solve for x
    x = 43,832,260,995.84/316,854.90
  6. Step 6: Final answer
    x = 138,335.44

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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.