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Finding the Fourth Proportional to 287,738.20, 430,829.70 and 225,530.20

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Solution

The fourth proportional to 287,738.20, 430,829.70 and 225,530.20 is: 337,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,738.20 : 430,829.70 = 225,530.20 : x
  2. Step 2: Convert to fraction form
    287,738.20/430,829.70 = 225,530.20/x
  3. Step 3: Cross multiply
    287,738.20x = 430,829.70 × 225,530.20
  4. Step 4: Simplify right side
    287,738.20x = 97,165,108,406.94
  5. Step 5: Solve for x
    x = 97,165,108,406.94/287,738.20
  6. Step 6: Final answer
    x = 337,685.81

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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.