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Finding the Fourth Proportional to 548,701.60, 823,052.40 and 489,215.20

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Solution

The fourth proportional to 548,701.60, 823,052.40 and 489,215.20 is: 733,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,701.60 : 823,052.40 = 489,215.20 : x
  2. Step 2: Convert to fraction form
    548,701.60/823,052.40 = 489,215.20/x
  3. Step 3: Cross multiply
    548,701.60x = 823,052.40 × 489,215.20
  4. Step 4: Simplify right side
    548,701.60x = 402,649,744,476.48
  5. Step 5: Solve for x
    x = 402,649,744,476.48/548,701.60
  6. Step 6: Final answer
    x = 733,822.80

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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.