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Finding the Fourth Proportional to 548,023.72, 822,502.14 and 215,833

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Solution

The fourth proportional to 548,023.72, 822,502.14 and 215,833 is: 323,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,023.72 : 822,502.14 = 215,833 : x
  2. Step 2: Convert to fraction form
    548,023.72/822,502.14 = 215,833/x
  3. Step 3: Cross multiply
    548,023.72x = 822,502.14 × 215,833
  4. Step 4: Simplify right side
    548,023.72x = 177,523,104,382.62
  5. Step 5: Solve for x
    x = 177,523,104,382.62/548,023.72
  6. Step 6: Final answer
    x = 323,933.25

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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.