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Finding the Fourth Proportional to 267,827.20, 400,963.20 and 260,051.20

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Solution

The fourth proportional to 267,827.20, 400,963.20 and 260,051.20 is: 389,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,827.20 : 400,963.20 = 260,051.20 : x
  2. Step 2: Convert to fraction form
    267,827.20/400,963.20 = 260,051.20/x
  3. Step 3: Cross multiply
    267,827.20x = 400,963.20 × 260,051.20
  4. Step 4: Simplify right side
    267,827.20x = 104,270,961,315.84
  5. Step 5: Solve for x
    x = 104,270,961,315.84/267,827.20
  6. Step 6: Final answer
    x = 389,321.78

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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.