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Finding the Fourth Proportional to 519,115.20, 778,672.80 and 282,919.20

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Solution

The fourth proportional to 519,115.20, 778,672.80 and 282,919.20 is: 424,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,115.20 : 778,672.80 = 282,919.20 : x
  2. Step 2: Convert to fraction form
    519,115.20/778,672.80 = 282,919.20/x
  3. Step 3: Cross multiply
    519,115.20x = 778,672.80 × 282,919.20
  4. Step 4: Simplify right side
    519,115.20x = 220,301,485,637.76
  5. Step 5: Solve for x
    x = 220,301,485,637.76/519,115.20
  6. Step 6: Final answer
    x = 424,378.80

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Similar ratio
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1.5x scale

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.