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Finding the Fourth Proportional to 313,649.36, 432,822 and 177,680.53

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Solution

The fourth proportional to 313,649.36, 432,822 and 177,680.53 is: 245,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,649.36 : 432,822 = 177,680.53 : x
  2. Step 2: Convert to fraction form
    313,649.36/432,822 = 177,680.53/x
  3. Step 3: Cross multiply
    313,649.36x = 432,822 × 177,680.53
  4. Step 4: Simplify right side
    313,649.36x = 76,904,041,273.61
  5. Step 5: Solve for x
    x = 76,904,041,273.61/313,649.36
  6. Step 6: Final answer
    x = 245,191.13

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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.