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Finding the Fourth Proportional to 374,443, 516,731.34 and 204,677.80

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Solution

The fourth proportional to 374,443, 516,731.34 and 204,677.80 is: 282,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,443 : 516,731.34 = 204,677.80 : x
  2. Step 2: Convert to fraction form
    374,443/516,731.34 = 204,677.80/x
  3. Step 3: Cross multiply
    374,443x = 516,731.34 × 204,677.80
  4. Step 4: Simplify right side
    374,443x = 105,763,433,862.25
  5. Step 5: Solve for x
    x = 105,763,433,862.25/374,443
  6. Step 6: Final answer
    x = 282,455.36

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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.