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Finding the Fourth Proportional to 820,171.90, 1,230,257.85 and 820,171.90

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Solution

The fourth proportional to 820,171.90, 1,230,257.85 and 820,171.90 is: 1,230,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,171.90 : 1,230,257.85 = 820,171.90 : x
  2. Step 2: Convert to fraction form
    820,171.90/1,230,257.85 = 820,171.90/x
  3. Step 3: Cross multiply
    820,171.90x = 1,230,257.85 × 820,171.90
  4. Step 4: Simplify right side
    820,171.90x = 1,009,022,918,324.42
  5. Step 5: Solve for x
    x = 1,009,022,918,324.42/820,171.90
  6. Step 6: Final answer
    x = 1,230,257.85

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1.5x scale

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.