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Finding the Fourth Proportional to 287,582.20, 431,373.30 and 77,241.40

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Solution

The fourth proportional to 287,582.20, 431,373.30 and 77,241.40 is: 115,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,582.20 : 431,373.30 = 77,241.40 : x
  2. Step 2: Convert to fraction form
    287,582.20/431,373.30 = 77,241.40/x
  3. Step 3: Cross multiply
    287,582.20x = 431,373.30 × 77,241.40
  4. Step 4: Simplify right side
    287,582.20x = 33,319,877,614.62
  5. Step 5: Solve for x
    x = 33,319,877,614.62/287,582.20
  6. Step 6: Final answer
    x = 115,862.10

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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.