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Finding the Fourth Proportional to 267,822.20, 400,955.70 and 260,046.20

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Solution

The fourth proportional to 267,822.20, 400,955.70 and 260,046.20 is: 389,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822.20 : 400,955.70 = 260,046.20 : x
  2. Step 2: Convert to fraction form
    267,822.20/400,955.70 = 260,046.20/x
  3. Step 3: Cross multiply
    267,822.20x = 400,955.70 × 260,046.20
  4. Step 4: Simplify right side
    267,822.20x = 104,267,006,153.34
  5. Step 5: Solve for x
    x = 104,267,006,153.34/267,822.20
  6. Step 6: Final answer
    x = 389,314.28

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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.