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Finding the Fourth Proportional to 548,064.80, 822,097.20 and 193,479.20

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Solution

The fourth proportional to 548,064.80, 822,097.20 and 193,479.20 is: 290,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,064.80 : 822,097.20 = 193,479.20 : x
  2. Step 2: Convert to fraction form
    548,064.80/822,097.20 = 193,479.20/x
  3. Step 3: Cross multiply
    548,064.80x = 822,097.20 × 193,479.20
  4. Step 4: Simplify right side
    548,064.80x = 159,058,708,578.24
  5. Step 5: Solve for x
    x = 159,058,708,578.24/548,064.80
  6. Step 6: Final answer
    x = 290,218.80

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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.