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Finding the Fourth Proportional to 827,809.20, 1,241,713.80 and 575,866.80

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Solution

The fourth proportional to 827,809.20, 1,241,713.80 and 575,866.80 is: 863,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,809.20 : 1,241,713.80 = 575,866.80 : x
  2. Step 2: Convert to fraction form
    827,809.20/1,241,713.80 = 575,866.80/x
  3. Step 3: Cross multiply
    827,809.20x = 1,241,713.80 × 575,866.80
  4. Step 4: Simplify right side
    827,809.20x = 715,061,752,521.84
  5. Step 5: Solve for x
    x = 715,061,752,521.84/827,809.20
  6. Step 6: Final answer
    x = 863,800.20

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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.