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Finding the Fourth Proportional to 474,767.15, 712,150.72 and 159,223.14

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Solution

The fourth proportional to 474,767.15, 712,150.72 and 159,223.14 is: 238,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,767.15 : 712,150.72 = 159,223.14 : x
  2. Step 2: Convert to fraction form
    474,767.15/712,150.72 = 159,223.14/x
  3. Step 3: Cross multiply
    474,767.15x = 712,150.72 × 159,223.14
  4. Step 4: Simplify right side
    474,767.15x = 113,390,873,791.66
  5. Step 5: Solve for x
    x = 113,390,873,791.66/474,767.15
  6. Step 6: Final answer
    x = 238,834.71

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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.