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Finding the Fourth Proportional to 978,046.86, 1,466,912.84 and 267,908.93

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Solution

The fourth proportional to 978,046.86, 1,466,912.84 and 267,908.93 is: 401,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,046.86 : 1,466,912.84 = 267,908.93 : x
  2. Step 2: Convert to fraction form
    978,046.86/1,466,912.84 = 267,908.93/x
  3. Step 3: Cross multiply
    978,046.86x = 1,466,912.84 × 267,908.93
  4. Step 4: Simplify right side
    978,046.86x = 392,999,040,693.55
  5. Step 5: Solve for x
    x = 392,999,040,693.55/978,046.86
  6. Step 6: Final answer
    x = 401,820.26

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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.