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Finding the Fourth Proportional to 283,375.80, 424,079.55 and 194,802.30

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Solution

The fourth proportional to 283,375.80, 424,079.55 and 194,802.30 is: 291,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,375.80 : 424,079.55 = 194,802.30 : x
  2. Step 2: Convert to fraction form
    283,375.80/424,079.55 = 194,802.30/x
  3. Step 3: Cross multiply
    283,375.80x = 424,079.55 × 194,802.30
  4. Step 4: Simplify right side
    283,375.80x = 82,611,671,722.97
  5. Step 5: Solve for x
    x = 82,611,671,722.97/283,375.80
  6. Step 6: Final answer
    x = 291,526.91

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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.