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Finding the Fourth Proportional to 273,665.40, 410,498.04 and 199,259.04

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Solution

The fourth proportional to 273,665.40, 410,498.04 and 199,259.04 is: 298,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,665.40 : 410,498.04 = 199,259.04 : x
  2. Step 2: Convert to fraction form
    273,665.40/410,498.04 = 199,259.04/x
  3. Step 3: Cross multiply
    273,665.40x = 410,498.04 × 199,259.04
  4. Step 4: Simplify right side
    273,665.40x = 81,795,445,372.28
  5. Step 5: Solve for x
    x = 81,795,445,372.28/273,665.40
  6. Step 6: Final answer
    x = 298,888.52

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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.