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Finding the Fourth Proportional to 287,582.80, 431,374.20 and 271,253.20

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Solution

The fourth proportional to 287,582.80, 431,374.20 and 271,253.20 is: 406,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,582.80 : 431,374.20 = 271,253.20 : x
  2. Step 2: Convert to fraction form
    287,582.80/431,374.20 = 271,253.20/x
  3. Step 3: Cross multiply
    287,582.80x = 431,374.20 × 271,253.20
  4. Step 4: Simplify right side
    287,582.80x = 117,011,632,147.44
  5. Step 5: Solve for x
    x = 117,011,632,147.44/287,582.80
  6. Step 6: Final answer
    x = 406,879.80

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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.