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Finding the Fourth Proportional to 416,808.10, 575,195.75 and 225,821.49

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Solution

The fourth proportional to 416,808.10, 575,195.75 and 225,821.49 is: 311,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,808.10 : 575,195.75 = 225,821.49 : x
  2. Step 2: Convert to fraction form
    416,808.10/575,195.75 = 225,821.49/x
  3. Step 3: Cross multiply
    416,808.10x = 575,195.75 × 225,821.49
  4. Step 4: Simplify right side
    416,808.10x = 129,891,561,306.67
  5. Step 5: Solve for x
    x = 129,891,561,306.67/416,808.10
  6. Step 6: Final answer
    x = 311,633.97

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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.