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Finding the Fourth Proportional to 474,874.80, 712,197 and 159,249.84

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Solution

The fourth proportional to 474,874.80, 712,197 and 159,249.84 is: 238,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,874.80 : 712,197 = 159,249.84 : x
  2. Step 2: Convert to fraction form
    474,874.80/712,197 = 159,249.84/x
  3. Step 3: Cross multiply
    474,874.80x = 712,197 × 159,249.84
  4. Step 4: Simplify right side
    474,874.80x = 113,417,258,298.48
  5. Step 5: Solve for x
    x = 113,417,258,298.48/474,874.80
  6. Step 6: Final answer
    x = 238,836.13

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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.