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Finding the Fourth Proportional to 1,102,801.10, 1,654,201.65 and 822,865.10

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Solution

The fourth proportional to 1,102,801.10, 1,654,201.65 and 822,865.10 is: 1,234,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,801.10 : 1,654,201.65 = 822,865.10 : x
  2. Step 2: Convert to fraction form
    1,102,801.10/1,654,201.65 = 822,865.10/x
  3. Step 3: Cross multiply
    1,102,801.10x = 1,654,201.65 × 822,865.10
  4. Step 4: Simplify right side
    1,102,801.10x = 1,361,184,806,147.41
  5. Step 5: Solve for x
    x = 1,361,184,806,147.41/1,102,801.10
  6. Step 6: Final answer
    x = 1,234,297.65

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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.