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Finding the Fourth Proportional to 548,166.72, 822,032.06 and 211,020.16

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Solution

The fourth proportional to 548,166.72, 822,032.06 and 211,020.16 is: 316,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,166.72 : 822,032.06 = 211,020.16 : x
  2. Step 2: Convert to fraction form
    548,166.72/822,032.06 = 211,020.16/x
  3. Step 3: Cross multiply
    548,166.72x = 822,032.06 × 211,020.16
  4. Step 4: Simplify right side
    548,166.72x = 173,465,336,826.33
  5. Step 5: Solve for x
    x = 173,465,336,826.33/548,166.72
  6. Step 6: Final answer
    x = 316,446.31

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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.