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Finding the Fourth Proportional to 314,793.88, 472,330.24 and 164,998.55

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Solution

The fourth proportional to 314,793.88, 472,330.24 and 164,998.55 is: 247,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,793.88 : 472,330.24 = 164,998.55 : x
  2. Step 2: Convert to fraction form
    314,793.88/472,330.24 = 164,998.55/x
  3. Step 3: Cross multiply
    314,793.88x = 472,330.24 × 164,998.55
  4. Step 4: Simplify right side
    314,793.88x = 77,933,805,489.48
  5. Step 5: Solve for x
    x = 77,933,805,489.48/314,793.88
  6. Step 6: Final answer
    x = 247,570.91

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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.