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Finding the Fourth Proportional to 470,954.27, 649,897.12 and 267,018.92

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Solution

The fourth proportional to 470,954.27, 649,897.12 and 267,018.92 is: 368,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,954.27 : 649,897.12 = 267,018.92 : x
  2. Step 2: Convert to fraction form
    470,954.27/649,897.12 = 267,018.92/x
  3. Step 3: Cross multiply
    470,954.27x = 649,897.12 × 267,018.92
  4. Step 4: Simplify right side
    470,954.27x = 173,534,822,508.93
  5. Step 5: Solve for x
    x = 173,534,822,508.93/470,954.27
  6. Step 6: Final answer
    x = 368,474.89

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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.