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Finding the Fourth Proportional to 406,380.24, 560,780.01 and 225,081.38

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Solution

The fourth proportional to 406,380.24, 560,780.01 and 225,081.38 is: 310,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,380.24 : 560,780.01 = 225,081.38 : x
  2. Step 2: Convert to fraction form
    406,380.24/560,780.01 = 225,081.38/x
  3. Step 3: Cross multiply
    406,380.24x = 560,780.01 × 225,081.38
  4. Step 4: Simplify right side
    406,380.24x = 126,221,139,929.16
  5. Step 5: Solve for x
    x = 126,221,139,929.16/406,380.24
  6. Step 6: Final answer
    x = 310,598.62

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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.