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Finding the Fourth Proportional to 822,645.68, 1,233,470.16 and 537,992.64

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Solution

The fourth proportional to 822,645.68, 1,233,470.16 and 537,992.64 is: 806,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,645.68 : 1,233,470.16 = 537,992.64 : x
  2. Step 2: Convert to fraction form
    822,645.68/1,233,470.16 = 537,992.64/x
  3. Step 3: Cross multiply
    822,645.68x = 1,233,470.16 × 537,992.64
  4. Step 4: Simplify right side
    822,645.68x = 663,597,867,739.62
  5. Step 5: Solve for x
    x = 663,597,867,739.62/822,645.68
  6. Step 6: Final answer
    x = 806,663.05

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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.