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Finding the Fourth Proportional to 519,102.80, 778,872.90 and 282,615.20

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Solution

The fourth proportional to 519,102.80, 778,872.90 and 282,615.20 is: 424,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,102.80 : 778,872.90 = 282,615.20 : x
  2. Step 2: Convert to fraction form
    519,102.80/778,872.90 = 282,615.20/x
  3. Step 3: Cross multiply
    519,102.80x = 778,872.90 × 282,615.20
  4. Step 4: Simplify right side
    519,102.80x = 220,121,320,408.08
  5. Step 5: Solve for x
    x = 220,121,320,408.08/519,102.80
  6. Step 6: Final answer
    x = 424,041.87

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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.