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Finding the Fourth Proportional to 827,809.80, 1,241,714.70 and 749,077.80

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Solution

The fourth proportional to 827,809.80, 1,241,714.70 and 749,077.80 is: 1,123,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,809.80 : 1,241,714.70 = 749,077.80 : x
  2. Step 2: Convert to fraction form
    827,809.80/1,241,714.70 = 749,077.80/x
  3. Step 3: Cross multiply
    827,809.80x = 1,241,714.70 × 749,077.80
  4. Step 4: Simplify right side
    827,809.80x = 930,140,915,703.66
  5. Step 5: Solve for x
    x = 930,140,915,703.66/827,809.80
  6. Step 6: Final answer
    x = 1,123,616.70

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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.