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Finding the Fourth Proportional to 313,856.73, 433,117.17 and 170,620.38

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Solution

The fourth proportional to 313,856.73, 433,117.17 and 170,620.38 is: 235,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856.73 : 433,117.17 = 170,620.38 : x
  2. Step 2: Convert to fraction form
    313,856.73/433,117.17 = 170,620.38/x
  3. Step 3: Cross multiply
    313,856.73x = 433,117.17 × 170,620.38
  4. Step 4: Simplify right side
    313,856.73x = 73,898,616,129.92
  5. Step 5: Solve for x
    x = 73,898,616,129.92/313,856.73
  6. Step 6: Final answer
    x = 235,453.34

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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.