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Finding the Fourth Proportional to 470,954.77, 649,897.81 and 267,019.41

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Solution

The fourth proportional to 470,954.77, 649,897.81 and 267,019.41 is: 368,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,954.77 : 649,897.81 = 267,019.41 : x
  2. Step 2: Convert to fraction form
    470,954.77/649,897.81 = 267,019.41/x
  3. Step 3: Cross multiply
    470,954.77x = 649,897.81 × 267,019.41
  4. Step 4: Simplify right side
    470,954.77x = 173,535,329,786.49
  5. Step 5: Solve for x
    x = 173,535,329,786.49/470,954.77
  6. Step 6: Final answer
    x = 368,475.58

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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.