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Finding the Fourth Proportional to 374,926.38, 517,398.40 and 205,160.50

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Solution

The fourth proportional to 374,926.38, 517,398.40 and 205,160.50 is: 283,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,926.38 : 517,398.40 = 205,160.50 : x
  2. Step 2: Convert to fraction form
    374,926.38/517,398.40 = 205,160.50/x
  3. Step 3: Cross multiply
    374,926.38x = 517,398.40 × 205,160.50
  4. Step 4: Simplify right side
    374,926.38x = 106,149,714,443.20
  5. Step 5: Solve for x
    x = 106,149,714,443.20/374,926.38
  6. Step 6: Final answer
    x = 283,121.49

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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.