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Finding the Fourth Proportional to 288,910.80, 433,490.28 and 111,542.40

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Solution

The fourth proportional to 288,910.80, 433,490.28 and 111,542.40 is: 167,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,910.80 : 433,490.28 = 111,542.40 : x
  2. Step 2: Convert to fraction form
    288,910.80/433,490.28 = 111,542.40/x
  3. Step 3: Cross multiply
    288,910.80x = 433,490.28 × 111,542.40
  4. Step 4: Simplify right side
    288,910.80x = 48,352,546,207.87
  5. Step 5: Solve for x
    x = 48,352,546,207.87/288,910.80
  6. Step 6: Final answer
    x = 167,361.50

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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.