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Finding the Fourth Proportional to 456,562.62, 684,960.75 and 267,182.46

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Solution

The fourth proportional to 456,562.62, 684,960.75 and 267,182.46 is: 400,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,562.62 : 684,960.75 = 267,182.46 : x
  2. Step 2: Convert to fraction form
    456,562.62/684,960.75 = 267,182.46/x
  3. Step 3: Cross multiply
    456,562.62x = 684,960.75 × 267,182.46
  4. Step 4: Simplify right side
    456,562.62x = 183,009,498,188.45
  5. Step 5: Solve for x
    x = 183,009,498,188.45/456,562.62
  6. Step 6: Final answer
    x = 400,842.05

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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.