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Finding the Fourth Proportional to 411,520.74, 567,920.69 and 230,221.86

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Solution

The fourth proportional to 411,520.74, 567,920.69 and 230,221.86 is: 317,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,520.74 : 567,920.69 = 230,221.86 : x
  2. Step 2: Convert to fraction form
    411,520.74/567,920.69 = 230,221.86/x
  3. Step 3: Cross multiply
    411,520.74x = 567,920.69 × 230,221.86
  4. Step 4: Simplify right side
    411,520.74x = 130,747,756,433.17
  5. Step 5: Solve for x
    x = 130,747,756,433.17/411,520.74
  6. Step 6: Final answer
    x = 317,718.51

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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.