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Finding the Fourth Proportional to 288,934.70, 433,272.45 and 111,382.70

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Solution

The fourth proportional to 288,934.70, 433,272.45 and 111,382.70 is: 167,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,934.70 : 433,272.45 = 111,382.70 : x
  2. Step 2: Convert to fraction form
    288,934.70/433,272.45 = 111,382.70/x
  3. Step 3: Cross multiply
    288,934.70x = 433,272.45 × 111,382.70
  4. Step 4: Simplify right side
    288,934.70x = 48,259,055,316.62
  5. Step 5: Solve for x
    x = 48,259,055,316.62/288,934.70
  6. Step 6: Final answer
    x = 167,024.09

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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.