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Finding the Fourth Proportional to 491,032.25, 736,728.30 and 206,794.36

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Solution

The fourth proportional to 491,032.25, 736,728.30 and 206,794.36 is: 310,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,032.25 : 736,728.30 = 206,794.36 : x
  2. Step 2: Convert to fraction form
    491,032.25/736,728.30 = 206,794.36/x
  3. Step 3: Cross multiply
    491,032.25x = 736,728.30 × 206,794.36
  4. Step 4: Simplify right side
    491,032.25x = 152,351,255,450.57
  5. Step 5: Solve for x
    x = 152,351,255,450.57/491,032.25
  6. Step 6: Final answer
    x = 310,267.31

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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.