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Finding the Fourth Proportional to 313,255.86, 432,282.11 and 170,013.03

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Solution

The fourth proportional to 313,255.86, 432,282.11 and 170,013.03 is: 234,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,255.86 : 432,282.11 = 170,013.03 : x
  2. Step 2: Convert to fraction form
    313,255.86/432,282.11 = 170,013.03/x
  3. Step 3: Cross multiply
    313,255.86x = 432,282.11 × 170,013.03
  4. Step 4: Simplify right side
    313,255.86x = 73,493,591,335.89
  5. Step 5: Solve for x
    x = 73,493,591,335.89/313,255.86
  6. Step 6: Final answer
    x = 234,612.02

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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.