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Finding the Fourth Proportional to 409,849.26, 565,590.88 and 228,561.39

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Solution

The fourth proportional to 409,849.26, 565,590.88 and 228,561.39 is: 315,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849.26 : 565,590.88 = 228,561.39 : x
  2. Step 2: Convert to fraction form
    409,849.26/565,590.88 = 228,561.39/x
  3. Step 3: Cross multiply
    409,849.26x = 565,590.88 × 228,561.39
  4. Step 4: Simplify right side
    409,849.26x = 129,272,237,704.12
  5. Step 5: Solve for x
    x = 129,272,237,704.12/409,849.26
  6. Step 6: Final answer
    x = 315,414.11

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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.