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Finding the Fourth Proportional to 411,561.77, 567,922.88 and 230,259.47

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Solution

The fourth proportional to 411,561.77, 567,922.88 and 230,259.47 is: 317,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,561.77 : 567,922.88 = 230,259.47 : x
  2. Step 2: Convert to fraction form
    411,561.77/567,922.88 = 230,259.47/x
  3. Step 3: Cross multiply
    411,561.77x = 567,922.88 × 230,259.47
  4. Step 4: Simplify right side
    411,561.77x = 130,769,620,198.38
  5. Step 5: Solve for x
    x = 130,769,620,198.38/411,561.77
  6. Step 6: Final answer
    x = 317,739.96

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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.