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Finding the Fourth Proportional to 411,820.13, 568,323.65 and 230,531.00

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Solution

The fourth proportional to 411,820.13, 568,323.65 and 230,531.00 is: 318,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,820.13 : 568,323.65 = 230,531.00 : x
  2. Step 2: Convert to fraction form
    411,820.13/568,323.65 = 230,531.00/x
  3. Step 3: Cross multiply
    411,820.13x = 568,323.65 × 230,531.00
  4. Step 4: Simplify right side
    411,820.13x = 131,016,217,092.86
  5. Step 5: Solve for x
    x = 131,016,217,092.86/411,820.13
  6. Step 6: Final answer
    x = 318,139.42

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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.