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Finding the Fourth Proportional to 827,208.80, 1,241,029.20 and 266,256.80

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Solution

The fourth proportional to 827,208.80, 1,241,029.20 and 266,256.80 is: 399,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,208.80 : 1,241,029.20 = 266,256.80 : x
  2. Step 2: Convert to fraction form
    827,208.80/1,241,029.20 = 266,256.80/x
  3. Step 3: Cross multiply
    827,208.80x = 1,241,029.20 × 266,256.80
  4. Step 4: Simplify right side
    827,208.80x = 330,432,463,498.56
  5. Step 5: Solve for x
    x = 330,432,463,498.56/827,208.80
  6. Step 6: Final answer
    x = 399,454.72

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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.