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Finding the Fourth Proportional to 312,274.80, 468,363.60 and 87,613.20

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Solution

The fourth proportional to 312,274.80, 468,363.60 and 87,613.20 is: 131,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,274.80 : 468,363.60 = 87,613.20 : x
  2. Step 2: Convert to fraction form
    312,274.80/468,363.60 = 87,613.20/x
  3. Step 3: Cross multiply
    312,274.80x = 468,363.60 × 87,613.20
  4. Step 4: Simplify right side
    312,274.80x = 41,034,833,759.52
  5. Step 5: Solve for x
    x = 41,034,833,759.52/312,274.80
  6. Step 6: Final answer
    x = 131,406.16

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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.