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Finding the Fourth Proportional to 312,613.92, 431,423.97 and 176,653.59

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Solution

The fourth proportional to 312,613.92, 431,423.97 and 176,653.59 is: 243,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,613.92 : 431,423.97 = 176,653.59 : x
  2. Step 2: Convert to fraction form
    312,613.92/431,423.97 = 176,653.59/x
  3. Step 3: Cross multiply
    312,613.92x = 431,423.97 × 176,653.59
  4. Step 4: Simplify right side
    312,613.92x = 76,212,593,112.55
  5. Step 5: Solve for x
    x = 76,212,593,112.55/312,613.92
  6. Step 6: Final answer
    x = 243,791.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.