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Finding the Fourth Proportional to 274,543.52, 411,886.26 and 160,787.48

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Solution

The fourth proportional to 274,543.52, 411,886.26 and 160,787.48 is: 241,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,543.52 : 411,886.26 = 160,787.48 : x
  2. Step 2: Convert to fraction form
    274,543.52/411,886.26 = 160,787.48/x
  3. Step 3: Cross multiply
    274,543.52x = 411,886.26 × 160,787.48
  4. Step 4: Simplify right side
    274,543.52x = 66,226,153,792.02
  5. Step 5: Solve for x
    x = 66,226,153,792.02/274,543.52
  6. Step 6: Final answer
    x = 241,222.79

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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.