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Finding the Fourth Proportional to 548,729.60, 823,094.40 and 489,243.20

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Solution

The fourth proportional to 548,729.60, 823,094.40 and 489,243.20 is: 733,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,729.60 : 823,094.40 = 489,243.20 : x
  2. Step 2: Convert to fraction form
    548,729.60/823,094.40 = 489,243.20/x
  3. Step 3: Cross multiply
    548,729.60x = 823,094.40 × 489,243.20
  4. Step 4: Simplify right side
    548,729.60x = 402,693,338,158.08
  5. Step 5: Solve for x
    x = 402,693,338,158.08/548,729.60
  6. Step 6: Final answer
    x = 733,864.80

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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.