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Finding the Fourth Proportional to 241,432.57, 361,444.32 and 180,911.09

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Solution

The fourth proportional to 241,432.57, 361,444.32 and 180,911.09 is: 270,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,432.57 : 361,444.32 = 180,911.09 : x
  2. Step 2: Convert to fraction form
    241,432.57/361,444.32 = 180,911.09/x
  3. Step 3: Cross multiply
    241,432.57x = 361,444.32 × 180,911.09
  4. Step 4: Simplify right side
    241,432.57x = 65,389,286,809.12
  5. Step 5: Solve for x
    x = 65,389,286,809.12/241,432.57
  6. Step 6: Final answer
    x = 270,838.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.