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Finding the Fourth Proportional to 287,433.20, 431,344.20 and 161,073.20

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Solution

The fourth proportional to 287,433.20, 431,344.20 and 161,073.20 is: 241,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,433.20 : 431,344.20 = 161,073.20 : x
  2. Step 2: Convert to fraction form
    287,433.20/431,344.20 = 161,073.20/x
  3. Step 3: Cross multiply
    287,433.20x = 431,344.20 × 161,073.20
  4. Step 4: Simplify right side
    287,433.20x = 69,477,990,595.44
  5. Step 5: Solve for x
    x = 69,477,990,595.44/287,433.20
  6. Step 6: Final answer
    x = 241,718.74

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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.