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Finding the Fourth Proportional to 520,203.80, 780,305.70 and 489,099.80

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Solution

The fourth proportional to 520,203.80, 780,305.70 and 489,099.80 is: 733,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,203.80 : 780,305.70 = 489,099.80 : x
  2. Step 2: Convert to fraction form
    520,203.80/780,305.70 = 489,099.80/x
  3. Step 3: Cross multiply
    520,203.80x = 780,305.70 × 489,099.80
  4. Step 4: Simplify right side
    520,203.80x = 381,647,361,808.86
  5. Step 5: Solve for x
    x = 381,647,361,808.86/520,203.80
  6. Step 6: Final answer
    x = 733,649.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.