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Finding the Fourth Proportional to 314,766.30, 472,149.45 and 293,876.70

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Solution

The fourth proportional to 314,766.30, 472,149.45 and 293,876.70 is: 440,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,766.30 : 472,149.45 = 293,876.70 : x
  2. Step 2: Convert to fraction form
    314,766.30/472,149.45 = 293,876.70/x
  3. Step 3: Cross multiply
    314,766.30x = 472,149.45 × 293,876.70
  4. Step 4: Simplify right side
    314,766.30x = 138,753,722,272.82
  5. Step 5: Solve for x
    x = 138,753,722,272.82/314,766.30
  6. Step 6: Final answer
    x = 440,815.05

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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.