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Finding the Fourth Proportional to 288,933.30, 433,227.15 and 148,965.30

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Solution

The fourth proportional to 288,933.30, 433,227.15 and 148,965.30 is: 223,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,933.30 : 433,227.15 = 148,965.30 : x
  2. Step 2: Convert to fraction form
    288,933.30/433,227.15 = 148,965.30/x
  3. Step 3: Cross multiply
    288,933.30x = 433,227.15 × 148,965.30
  4. Step 4: Simplify right side
    288,933.30x = 64,535,812,367.90
  5. Step 5: Solve for x
    x = 64,535,812,367.90/288,933.30
  6. Step 6: Final answer
    x = 223,358.86

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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.