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Finding the Fourth Proportional to 406,580.90, 561,073.26 and 225,291.24

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Solution

The fourth proportional to 406,580.90, 561,073.26 and 225,291.24 is: 310,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,580.90 : 561,073.26 = 225,291.24 : x
  2. Step 2: Convert to fraction form
    406,580.90/561,073.26 = 225,291.24/x
  3. Step 3: Cross multiply
    406,580.90x = 561,073.26 × 225,291.24
  4. Step 4: Simplify right side
    406,580.90x = 126,404,890,476.24
  5. Step 5: Solve for x
    x = 126,404,890,476.24/406,580.90
  6. Step 6: Final answer
    x = 310,897.27

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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.