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Finding the Fourth Proportional to 474,343.40, 711,918.30 and 194,061.80

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Solution

The fourth proportional to 474,343.40, 711,918.30 and 194,061.80 is: 291,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,343.40 : 711,918.30 = 194,061.80 : x
  2. Step 2: Convert to fraction form
    474,343.40/711,918.30 = 194,061.80/x
  3. Step 3: Cross multiply
    474,343.40x = 711,918.30 × 194,061.80
  4. Step 4: Simplify right side
    474,343.40x = 138,156,146,750.94
  5. Step 5: Solve for x
    x = 138,156,146,750.94/474,343.40
  6. Step 6: Final answer
    x = 291,257.66

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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.