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Finding the Fourth Proportional to 313,639.76, 432,823.20 and 170,399.76

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Solution

The fourth proportional to 313,639.76, 432,823.20 and 170,399.76 is: 235,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,639.76 : 432,823.20 = 170,399.76 : x
  2. Step 2: Convert to fraction form
    313,639.76/432,823.20 = 170,399.76/x
  3. Step 3: Cross multiply
    313,639.76x = 432,823.20 × 170,399.76
  4. Step 4: Simplify right side
    313,639.76x = 73,752,969,402.43
  5. Step 5: Solve for x
    x = 73,752,969,402.43/313,639.76
  6. Step 6: Final answer
    x = 235,151.85

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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.