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Finding the Fourth Proportional to 310,832.80, 466,479.60 and 205,616.80

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Solution

The fourth proportional to 310,832.80, 466,479.60 and 205,616.80 is: 308,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,832.80 : 466,479.60 = 205,616.80 : x
  2. Step 2: Convert to fraction form
    310,832.80/466,479.60 = 205,616.80/x
  3. Step 3: Cross multiply
    310,832.80x = 466,479.60 × 205,616.80
  4. Step 4: Simplify right side
    310,832.80x = 95,916,042,617.28
  5. Step 5: Solve for x
    x = 95,916,042,617.28/310,832.80
  6. Step 6: Final answer
    x = 308,577.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.