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Finding the Fourth Proportional to 411,917.76, 568,419 and 230,599.08

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Solution

The fourth proportional to 411,917.76, 568,419 and 230,599.08 is: 318,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,917.76 : 568,419 = 230,599.08 : x
  2. Step 2: Convert to fraction form
    411,917.76/568,419 = 230,599.08/x
  3. Step 3: Cross multiply
    411,917.76x = 568,419 × 230,599.08
  4. Step 4: Simplify right side
    411,917.76x = 131,076,898,454.52
  5. Step 5: Solve for x
    x = 131,076,898,454.52/411,917.76
  6. Step 6: Final answer
    x = 318,211.33

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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.