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Finding the Fourth Proportional to 292,043.68, 438,119.52 and 92,414.32

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Solution

The fourth proportional to 292,043.68, 438,119.52 and 92,414.32 is: 138,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,043.68 : 438,119.52 = 92,414.32 : x
  2. Step 2: Convert to fraction form
    292,043.68/438,119.52 = 92,414.32/x
  3. Step 3: Cross multiply
    292,043.68x = 438,119.52 × 92,414.32
  4. Step 4: Simplify right side
    292,043.68x = 40,488,517,519.53
  5. Step 5: Solve for x
    x = 40,488,517,519.53/292,043.68
  6. Step 6: Final answer
    x = 138,638.57

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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.