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Finding the Fourth Proportional to 542,924.64, 814,386.42 and 371,977.92

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Solution

The fourth proportional to 542,924.64, 814,386.42 and 371,977.92 is: 557,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,924.64 : 814,386.42 = 371,977.92 : x
  2. Step 2: Convert to fraction form
    542,924.64/814,386.42 = 371,977.92/x
  3. Step 3: Cross multiply
    542,924.64x = 814,386.42 × 371,977.92
  4. Step 4: Simplify right side
    542,924.64x = 302,933,766,587.85
  5. Step 5: Solve for x
    x = 302,933,766,587.85/542,924.64
  6. Step 6: Final answer
    x = 557,966.51

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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.