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Finding the Fourth Proportional to 485,725.80, 728,588.70 and 309,016.20

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Solution

The fourth proportional to 485,725.80, 728,588.70 and 309,016.20 is: 463,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,725.80 : 728,588.70 = 309,016.20 : x
  2. Step 2: Convert to fraction form
    485,725.80/728,588.70 = 309,016.20/x
  3. Step 3: Cross multiply
    485,725.80x = 728,588.70 × 309,016.20
  4. Step 4: Simplify right side
    485,725.80x = 225,145,711,436.94
  5. Step 5: Solve for x
    x = 225,145,711,436.94/485,725.80
  6. Step 6: Final answer
    x = 463,524.30

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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.