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Finding the Fourth Proportional to 411,763.60, 568,207.38 and 230,444.92

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Solution

The fourth proportional to 411,763.60, 568,207.38 and 230,444.92 is: 317,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,763.60 : 568,207.38 = 230,444.92 : x
  2. Step 2: Convert to fraction form
    411,763.60/568,207.38 = 230,444.92/x
  3. Step 3: Cross multiply
    411,763.60x = 568,207.38 × 230,444.92
  4. Step 4: Simplify right side
    411,763.60x = 130,940,504,227.51
  5. Step 5: Solve for x
    x = 130,940,504,227.51/411,763.60
  6. Step 6: Final answer
    x = 317,999.22

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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.