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Finding the Fourth Proportional to 288,086.20, 431,999.70 and 110,534.20

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Solution

The fourth proportional to 288,086.20, 431,999.70 and 110,534.20 is: 165,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,086.20 : 431,999.70 = 110,534.20 : x
  2. Step 2: Convert to fraction form
    288,086.20/431,999.70 = 110,534.20/x
  3. Step 3: Cross multiply
    288,086.20x = 431,999.70 × 110,534.20
  4. Step 4: Simplify right side
    288,086.20x = 47,750,741,239.74
  5. Step 5: Solve for x
    x = 47,750,741,239.74/288,086.20
  6. Step 6: Final answer
    x = 165,751.57

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1.5x scale

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.