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Finding the Fourth Proportional to 287,731.80, 431,424.90 and 147,763.80

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Solution

The fourth proportional to 287,731.80, 431,424.90 and 147,763.80 is: 221,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,731.80 : 431,424.90 = 147,763.80 : x
  2. Step 2: Convert to fraction form
    287,731.80/431,424.90 = 147,763.80/x
  3. Step 3: Cross multiply
    287,731.80x = 431,424.90 × 147,763.80
  4. Step 4: Simplify right side
    287,731.80x = 63,748,982,638.62
  5. Step 5: Solve for x
    x = 63,748,982,638.62/287,731.80
  6. Step 6: Final answer
    x = 221,556.96

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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.