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Finding the Fourth Proportional to 411,255.86, 567,585.90 and 229,977.90

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Solution

The fourth proportional to 411,255.86, 567,585.90 and 229,977.90 is: 317,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,255.86 : 567,585.90 = 229,977.90 : x
  2. Step 2: Convert to fraction form
    411,255.86/567,585.90 = 229,977.90/x
  3. Step 3: Cross multiply
    411,255.86x = 567,585.90 × 229,977.90
  4. Step 4: Simplify right side
    411,255.86x = 130,532,213,351.61
  5. Step 5: Solve for x
    x = 130,532,213,351.61/411,255.86
  6. Step 6: Final answer
    x = 317,399.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.