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Finding the Fourth Proportional to 406,421.52, 560,854.67 and 225,129.65

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Solution

The fourth proportional to 406,421.52, 560,854.67 and 225,129.65 is: 310,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,421.52 : 560,854.67 = 225,129.65 : x
  2. Step 2: Convert to fraction form
    406,421.52/560,854.67 = 225,129.65/x
  3. Step 3: Cross multiply
    406,421.52x = 560,854.67 × 225,129.65
  4. Step 4: Simplify right side
    406,421.52x = 126,265,011,628.04
  5. Step 5: Solve for x
    x = 126,265,011,628.04/406,421.52
  6. Step 6: Final answer
    x = 310,675.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.