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Finding the Fourth Proportional to 312,212.53, 430,854.56 and 168,972.54

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Solution

The fourth proportional to 312,212.53, 430,854.56 and 168,972.54 is: 233,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,212.53 : 430,854.56 = 168,972.54 : x
  2. Step 2: Convert to fraction form
    312,212.53/430,854.56 = 168,972.54/x
  3. Step 3: Cross multiply
    312,212.53x = 430,854.56 × 168,972.54
  4. Step 4: Simplify right side
    312,212.53x = 72,802,589,373.78
  5. Step 5: Solve for x
    x = 72,802,589,373.78/312,212.53
  6. Step 6: Final answer
    x = 233,182.79

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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.