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Finding the Fourth Proportional to 406,482.18, 560,949.30 and 225,197.97

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Solution

The fourth proportional to 406,482.18, 560,949.30 and 225,197.97 is: 310,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,482.18 : 560,949.30 = 225,197.97 : x
  2. Step 2: Convert to fraction form
    406,482.18/560,949.30 = 225,197.97/x
  3. Step 3: Cross multiply
    406,482.18x = 560,949.30 × 225,197.97
  4. Step 4: Simplify right side
    406,482.18x = 126,324,643,632.92
  5. Step 5: Solve for x
    x = 126,324,643,632.92/406,482.18
  6. Step 6: Final answer
    x = 310,775.35

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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.