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Finding the Fourth Proportional to 287,727.20, 430,813.20 and 225,519.20

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Solution

The fourth proportional to 287,727.20, 430,813.20 and 225,519.20 is: 337,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727.20 : 430,813.20 = 225,519.20 : x
  2. Step 2: Convert to fraction form
    287,727.20/430,813.20 = 225,519.20/x
  3. Step 3: Cross multiply
    287,727.20x = 430,813.20 × 225,519.20
  4. Step 4: Simplify right side
    287,727.20x = 97,156,648,213.44
  5. Step 5: Solve for x
    x = 97,156,648,213.44/287,727.20
  6. Step 6: Final answer
    x = 337,669.32

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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.