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Finding the Fourth Proportional to 406,605.28, 561,118.58 and 225,320.23

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Solution

The fourth proportional to 406,605.28, 561,118.58 and 225,320.23 is: 310,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,605.28 : 561,118.58 = 225,320.23 : x
  2. Step 2: Convert to fraction form
    406,605.28/561,118.58 = 225,320.23/x
  3. Step 3: Cross multiply
    406,605.28x = 561,118.58 × 225,320.23
  4. Step 4: Simplify right side
    406,605.28x = 126,431,367,502.87
  5. Step 5: Solve for x
    x = 126,431,367,502.87/406,605.28
  6. Step 6: Final answer
    x = 310,943.74

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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.