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Finding the Fourth Proportional to 374,141.88, 516,296.52 and 204,343.20

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Solution

The fourth proportional to 374,141.88, 516,296.52 and 204,343.20 is: 281,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,141.88 : 516,296.52 = 204,343.20 : x
  2. Step 2: Convert to fraction form
    374,141.88/516,296.52 = 204,343.20/x
  3. Step 3: Cross multiply
    374,141.88x = 516,296.52 × 204,343.20
  4. Step 4: Simplify right side
    374,141.88x = 105,501,683,045.66
  5. Step 5: Solve for x
    x = 105,501,683,045.66/374,141.88
  6. Step 6: Final answer
    x = 281,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.