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Finding the Fourth Proportional to 474,102.20, 711,255.70 and 141,711.80

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Solution

The fourth proportional to 474,102.20, 711,255.70 and 141,711.80 is: 212,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,102.20 : 711,255.70 = 141,711.80 : x
  2. Step 2: Convert to fraction form
    474,102.20/711,255.70 = 141,711.80/x
  3. Step 3: Cross multiply
    474,102.20x = 711,255.70 × 141,711.80
  4. Step 4: Simplify right side
    474,102.20x = 100,793,325,507.26
  5. Step 5: Solve for x
    x = 100,793,325,507.26/474,102.20
  6. Step 6: Final answer
    x = 212,598.31

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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.