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Finding the Fourth Proportional to 313,763.61, 432,997.14 and 170,523.66

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Solution

The fourth proportional to 313,763.61, 432,997.14 and 170,523.66 is: 235,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,763.61 : 432,997.14 = 170,523.66 : x
  2. Step 2: Convert to fraction form
    313,763.61/432,997.14 = 170,523.66/x
  3. Step 3: Cross multiply
    313,763.61x = 432,997.14 × 170,523.66
  4. Step 4: Simplify right side
    313,763.61x = 73,836,257,082.33
  5. Step 5: Solve for x
    x = 73,836,257,082.33/313,763.61
  6. Step 6: Final answer
    x = 235,324.48

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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.