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Finding the Fourth Proportional to 470,952.27, 649,894.36 and 267,016.91

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Solution

The fourth proportional to 470,952.27, 649,894.36 and 267,016.91 is: 368,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,952.27 : 649,894.36 = 267,016.91 : x
  2. Step 2: Convert to fraction form
    470,952.27/649,894.36 = 267,016.91/x
  3. Step 3: Cross multiply
    470,952.27x = 649,894.36 × 267,016.91
  4. Step 4: Simplify right side
    470,952.27x = 173,532,784,072.93
  5. Step 5: Solve for x
    x = 173,532,784,072.93/470,952.27
  6. Step 6: Final answer
    x = 368,472.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.