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Finding the Fourth Proportional to 468,114.30, 702,414.45 and 218,796.30

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Solution

The fourth proportional to 468,114.30, 702,414.45 and 218,796.30 is: 328,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.30 : 702,414.45 = 218,796.30 : x
  2. Step 2: Convert to fraction form
    468,114.30/702,414.45 = 218,796.30/x
  3. Step 3: Cross multiply
    468,114.30x = 702,414.45 × 218,796.30
  4. Step 4: Simplify right side
    468,114.30x = 153,685,682,726.54
  5. Step 5: Solve for x
    x = 153,685,682,726.54/468,114.30
  6. Step 6: Final answer
    x = 328,308.03

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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.