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Finding the Fourth Proportional to 802,908.12, 1,204,564.66 and 566,712.12

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Solution

The fourth proportional to 802,908.12, 1,204,564.66 and 566,712.12 is: 850,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,908.12 : 1,204,564.66 = 566,712.12 : x
  2. Step 2: Convert to fraction form
    802,908.12/1,204,564.66 = 566,712.12/x
  3. Step 3: Cross multiply
    802,908.12x = 1,204,564.66 × 566,712.12
  4. Step 4: Simplify right side
    802,908.12x = 682,641,392,145.68
  5. Step 5: Solve for x
    x = 682,641,392,145.68/802,908.12
  6. Step 6: Final answer
    x = 850,211.10

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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.