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Finding the Fourth Proportional to 474,463.12, 711,957.44 and 194,177.20

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Solution

The fourth proportional to 474,463.12, 711,957.44 and 194,177.20 is: 291,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,463.12 : 711,957.44 = 194,177.20 : x
  2. Step 2: Convert to fraction form
    474,463.12/711,957.44 = 194,177.20/x
  3. Step 3: Cross multiply
    474,463.12x = 711,957.44 × 194,177.20
  4. Step 4: Simplify right side
    474,463.12x = 138,245,902,218.37
  5. Step 5: Solve for x
    x = 138,245,902,218.37/474,463.12
  6. Step 6: Final answer
    x = 291,373.34

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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.