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Finding the Fourth Proportional to 273,429.60, 410,387.40 and 160,969.20

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Solution

The fourth proportional to 273,429.60, 410,387.40 and 160,969.20 is: 241,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,429.60 : 410,387.40 = 160,969.20 : x
  2. Step 2: Convert to fraction form
    273,429.60/410,387.40 = 160,969.20/x
  3. Step 3: Cross multiply
    273,429.60x = 410,387.40 × 160,969.20
  4. Step 4: Simplify right side
    273,429.60x = 66,059,731,468.08
  5. Step 5: Solve for x
    x = 66,059,731,468.08/273,429.60
  6. Step 6: Final answer
    x = 241,596.86

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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.