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Finding the Fourth Proportional to 406,475.48, 560,913.72 and 225,173

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Solution

The fourth proportional to 406,475.48, 560,913.72 and 225,173 is: 310,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,475.48 : 560,913.72 = 225,173 : x
  2. Step 2: Convert to fraction form
    406,475.48/560,913.72 = 225,173/x
  3. Step 3: Cross multiply
    406,475.48x = 560,913.72 × 225,173
  4. Step 4: Simplify right side
    406,475.48x = 126,302,625,073.56
  5. Step 5: Solve for x
    x = 126,302,625,073.56/406,475.48
  6. Step 6: Final answer
    x = 310,726.31

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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.