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Finding the Fourth Proportional to 411,512.65, 567,909.52 and 230,213.77

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Solution

The fourth proportional to 411,512.65, 567,909.52 and 230,213.77 is: 317,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,512.65 : 567,909.52 = 230,213.77 : x
  2. Step 2: Convert to fraction form
    411,512.65/567,909.52 = 230,213.77/x
  3. Step 3: Cross multiply
    411,512.65x = 567,909.52 × 230,213.77
  4. Step 4: Simplify right side
    411,512.65x = 130,740,591,618.09
  5. Step 5: Solve for x
    x = 130,740,591,618.09/411,512.65
  6. Step 6: Final answer
    x = 317,707.35

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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.