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Finding the Fourth Proportional to 474,299.88, 711,451.02 and 193,817.16

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Solution

The fourth proportional to 474,299.88, 711,451.02 and 193,817.16 is: 290,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,299.88 : 711,451.02 = 193,817.16 : x
  2. Step 2: Convert to fraction form
    474,299.88/711,451.02 = 193,817.16/x
  3. Step 3: Cross multiply
    474,299.88x = 711,451.02 × 193,817.16
  4. Step 4: Simplify right side
    474,299.88x = 137,891,416,175.50
  5. Step 5: Solve for x
    x = 137,891,416,175.50/474,299.88
  6. Step 6: Final answer
    x = 290,726.23

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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.