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Finding the Fourth Proportional to 548,846.40, 821,665.80 and 391,382.40

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Solution

The fourth proportional to 548,846.40, 821,665.80 and 391,382.40 is: 585,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,846.40 : 821,665.80 = 391,382.40 : x
  2. Step 2: Convert to fraction form
    548,846.40/821,665.80 = 391,382.40/x
  3. Step 3: Cross multiply
    548,846.40x = 821,665.80 × 391,382.40
  4. Step 4: Simplify right side
    548,846.40x = 321,585,532,801.92
  5. Step 5: Solve for x
    x = 321,585,532,801.92/548,846.40
  6. Step 6: Final answer
    x = 585,929.93

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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.