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Finding the Fourth Proportional to 273,881.80, 410,822.70 and 199,232.20

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Solution

The fourth proportional to 273,881.80, 410,822.70 and 199,232.20 is: 298,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,881.80 : 410,822.70 = 199,232.20 : x
  2. Step 2: Convert to fraction form
    273,881.80/410,822.70 = 199,232.20/x
  3. Step 3: Cross multiply
    273,881.80x = 410,822.70 × 199,232.20
  4. Step 4: Simplify right side
    273,881.80x = 81,849,110,330.94
  5. Step 5: Solve for x
    x = 81,849,110,330.94/273,881.80
  6. Step 6: Final answer
    x = 298,848.30

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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.