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Finding the Fourth Proportional to 474,291.27, 711,438.12 and 193,808.52

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Solution

The fourth proportional to 474,291.27, 711,438.12 and 193,808.52 is: 290,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,291.27 : 711,438.12 = 193,808.52 : x
  2. Step 2: Convert to fraction form
    474,291.27/711,438.12 = 193,808.52/x
  3. Step 3: Cross multiply
    474,291.27x = 711,438.12 × 193,808.52
  4. Step 4: Simplify right side
    474,291.27x = 137,882,769,108.78
  5. Step 5: Solve for x
    x = 137,882,769,108.78/474,291.27
  6. Step 6: Final answer
    x = 290,713.28

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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.