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Finding the Fourth Proportional to 485,616.80, 727,647.60 and 307,805.60

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Solution

The fourth proportional to 485,616.80, 727,647.60 and 307,805.60 is: 461,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,616.80 : 727,647.60 = 307,805.60 : x
  2. Step 2: Convert to fraction form
    485,616.80/727,647.60 = 307,805.60/x
  3. Step 3: Cross multiply
    485,616.80x = 727,647.60 × 307,805.60
  4. Step 4: Simplify right side
    485,616.80x = 223,974,006,106.56
  5. Step 5: Solve for x
    x = 223,974,006,106.56/485,616.80
  6. Step 6: Final answer
    x = 461,215.52

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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.