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Finding the Fourth Proportional to 406,729.52, 561,320.34 and 225,498.29

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Solution

The fourth proportional to 406,729.52, 561,320.34 and 225,498.29 is: 311,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,729.52 : 561,320.34 = 225,498.29 : x
  2. Step 2: Convert to fraction form
    406,729.52/561,320.34 = 225,498.29/x
  3. Step 3: Cross multiply
    406,729.52x = 561,320.34 × 225,498.29
  4. Step 4: Simplify right side
    406,729.52x = 126,576,776,812.22
  5. Step 5: Solve for x
    x = 126,576,776,812.22/406,729.52
  6. Step 6: Final answer
    x = 311,206.27

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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.