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Finding the Fourth Proportional to 288,822.40, 433,233.60 and 204,841.60

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Solution

The fourth proportional to 288,822.40, 433,233.60 and 204,841.60 is: 307,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,822.40 : 433,233.60 = 204,841.60 : x
  2. Step 2: Convert to fraction form
    288,822.40/433,233.60 = 204,841.60/x
  3. Step 3: Cross multiply
    288,822.40x = 433,233.60 × 204,841.60
  4. Step 4: Simplify right side
    288,822.40x = 88,744,263,797.76
  5. Step 5: Solve for x
    x = 88,744,263,797.76/288,822.40
  6. Step 6: Final answer
    x = 307,262.40

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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.