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Finding the Fourth Proportional to 548,601.76, 822,689.94 and 188,704.18

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Solution

The fourth proportional to 548,601.76, 822,689.94 and 188,704.18 is: 282,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,601.76 : 822,689.94 = 188,704.18 : x
  2. Step 2: Convert to fraction form
    548,601.76/822,689.94 = 188,704.18/x
  3. Step 3: Cross multiply
    548,601.76x = 822,689.94 × 188,704.18
  4. Step 4: Simplify right side
    548,601.76x = 155,245,030,521.95
  5. Step 5: Solve for x
    x = 155,245,030,521.95/548,601.76
  6. Step 6: Final answer
    x = 282,983.11

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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.