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Finding the Fourth Proportional to 313,147.96, 432,141.70 and 177,180.76

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Solution

The fourth proportional to 313,147.96, 432,141.70 and 177,180.76 is: 244,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,147.96 : 432,141.70 = 177,180.76 : x
  2. Step 2: Convert to fraction form
    313,147.96/432,141.70 = 177,180.76/x
  3. Step 3: Cross multiply
    313,147.96x = 432,141.70 × 177,180.76
  4. Step 4: Simplify right side
    313,147.96x = 76,567,194,833.69
  5. Step 5: Solve for x
    x = 76,567,194,833.69/313,147.96
  6. Step 6: Final answer
    x = 244,508.04

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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.