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Finding the Fourth Proportional to 474,470.80, 711,706.20 and 194,189.20

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Solution

The fourth proportional to 474,470.80, 711,706.20 and 194,189.20 is: 291,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,470.80 : 711,706.20 = 194,189.20 : x
  2. Step 2: Convert to fraction form
    474,470.80/711,706.20 = 194,189.20/x
  3. Step 3: Cross multiply
    474,470.80x = 711,706.20 × 194,189.20
  4. Step 4: Simplify right side
    474,470.80x = 138,205,657,613.04
  5. Step 5: Solve for x
    x = 138,205,657,613.04/474,470.80
  6. Step 6: Final answer
    x = 291,283.80

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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.