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Finding the Fourth Proportional to 519,122.80, 778,902.90 and 282,635.20

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Solution

The fourth proportional to 519,122.80, 778,902.90 and 282,635.20 is: 424,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,122.80 : 778,902.90 = 282,635.20 : x
  2. Step 2: Convert to fraction form
    519,122.80/778,902.90 = 282,635.20/x
  3. Step 3: Cross multiply
    519,122.80x = 778,902.90 × 282,635.20
  4. Step 4: Simplify right side
    519,122.80x = 220,145,376,922.08
  5. Step 5: Solve for x
    x = 220,145,376,922.08/519,122.80
  6. Step 6: Final answer
    x = 424,071.87

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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.