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Finding the Fourth Proportional to 548,455.80, 822,942.90 and 233,182.20

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Solution

The fourth proportional to 548,455.80, 822,942.90 and 233,182.20 is: 349,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,455.80 : 822,942.90 = 233,182.20 : x
  2. Step 2: Convert to fraction form
    548,455.80/822,942.90 = 233,182.20/x
  3. Step 3: Cross multiply
    548,455.80x = 822,942.90 × 233,182.20
  4. Step 4: Simplify right side
    548,455.80x = 191,895,635,896.38
  5. Step 5: Solve for x
    x = 191,895,635,896.38/548,455.80
  6. Step 6: Final answer
    x = 349,883.50

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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.