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Finding the Fourth Proportional to 361,569.06, 498,912.84 and 200,424

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Solution

The fourth proportional to 361,569.06, 498,912.84 and 200,424 is: 276,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,569.06 : 498,912.84 = 200,424 : x
  2. Step 2: Convert to fraction form
    361,569.06/498,912.84 = 200,424/x
  3. Step 3: Cross multiply
    361,569.06x = 498,912.84 × 200,424
  4. Step 4: Simplify right side
    361,569.06x = 99,994,107,044.16
  5. Step 5: Solve for x
    x = 99,994,107,044.16/361,569.06
  6. Step 6: Final answer
    x = 276,556.04

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1.5x scale

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.