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Finding the Fourth Proportional to 520,514.10, 780,771.15 and 489,021.30

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Solution

The fourth proportional to 520,514.10, 780,771.15 and 489,021.30 is: 733,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,514.10 : 780,771.15 = 489,021.30 : x
  2. Step 2: Convert to fraction form
    520,514.10/780,771.15 = 489,021.30/x
  3. Step 3: Cross multiply
    520,514.10x = 780,771.15 × 489,021.30
  4. Step 4: Simplify right side
    520,514.10x = 381,813,722,775.50
  5. Step 5: Solve for x
    x = 381,813,722,775.50/520,514.10
  6. Step 6: Final answer
    x = 733,531.95

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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.