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Finding the Fourth Proportional to 361,397.76, 542,097.92 and 255,897.60

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Solution

The fourth proportional to 361,397.76, 542,097.92 and 255,897.60 is: 383,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,397.76 : 542,097.92 = 255,897.60 : x
  2. Step 2: Convert to fraction form
    361,397.76/542,097.92 = 255,897.60/x
  3. Step 3: Cross multiply
    361,397.76x = 542,097.92 × 255,897.60
  4. Step 4: Simplify right side
    361,397.76x = 138,721,556,692.99
  5. Step 5: Solve for x
    x = 138,721,556,692.99/361,397.76
  6. Step 6: Final answer
    x = 383,847.31

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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.