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Finding the Fourth Proportional to 406,495.08, 560,930.27 and 225,214.65

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Solution

The fourth proportional to 406,495.08, 560,930.27 and 225,214.65 is: 310,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.08 : 560,930.27 = 225,214.65 : x
  2. Step 2: Convert to fraction form
    406,495.08/560,930.27 = 225,214.65/x
  3. Step 3: Cross multiply
    406,495.08x = 560,930.27 × 225,214.65
  4. Step 4: Simplify right side
    406,495.08x = 126,329,713,306.38
  5. Step 5: Solve for x
    x = 126,329,713,306.38/406,495.08
  6. Step 6: Final answer
    x = 310,777.96

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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.