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Finding the Fourth Proportional to 519,076.80, 778,833.90 and 282,589.20

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Solution

The fourth proportional to 519,076.80, 778,833.90 and 282,589.20 is: 424,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,076.80 : 778,833.90 = 282,589.20 : x
  2. Step 2: Convert to fraction form
    519,076.80/778,833.90 = 282,589.20/x
  3. Step 3: Cross multiply
    519,076.80x = 778,833.90 × 282,589.20
  4. Step 4: Simplify right side
    519,076.80x = 220,090,048,733.88
  5. Step 5: Solve for x
    x = 220,090,048,733.88/519,076.80
  6. Step 6: Final answer
    x = 424,002.86

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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.