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Finding the Fourth Proportional to 313,965.92, 433,120.70 and 186,551.30

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Solution

The fourth proportional to 313,965.92, 433,120.70 and 186,551.30 is: 257,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965.92 : 433,120.70 = 186,551.30 : x
  2. Step 2: Convert to fraction form
    313,965.92/433,120.70 = 186,551.30/x
  3. Step 3: Cross multiply
    313,965.92x = 433,120.70 × 186,551.30
  4. Step 4: Simplify right side
    313,965.92x = 80,799,229,641.91
  5. Step 5: Solve for x
    x = 80,799,229,641.91/313,965.92
  6. Step 6: Final answer
    x = 257,350.32

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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.