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Finding the Fourth Proportional to 317,997.74, 476,937.81 and 144,848.66

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Solution

The fourth proportional to 317,997.74, 476,937.81 and 144,848.66 is: 217,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,997.74 : 476,937.81 = 144,848.66 : x
  2. Step 2: Convert to fraction form
    317,997.74/476,937.81 = 144,848.66/x
  3. Step 3: Cross multiply
    317,997.74x = 476,937.81 × 144,848.66
  4. Step 4: Simplify right side
    317,997.74x = 69,083,800,297.15
  5. Step 5: Solve for x
    x = 69,083,800,297.15/317,997.74
  6. Step 6: Final answer
    x = 217,246.20

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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.