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Finding the Fourth Proportional to 398,775.78, 550,295.37 and 219,927.78

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Solution

The fourth proportional to 398,775.78, 550,295.37 and 219,927.78 is: 303,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,775.78 : 550,295.37 = 219,927.78 : x
  2. Step 2: Convert to fraction form
    398,775.78/550,295.37 = 219,927.78/x
  3. Step 3: Cross multiply
    398,775.78x = 550,295.37 × 219,927.78
  4. Step 4: Simplify right side
    398,775.78x = 121,025,239,068.38
  5. Step 5: Solve for x
    x = 121,025,239,068.38/398,775.78
  6. Step 6: Final answer
    x = 303,491.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.