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Finding the Fourth Proportional to 317,010.21, 475,248.77 and 148,441.71

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Solution

The fourth proportional to 317,010.21, 475,248.77 and 148,441.71 is: 222,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,010.21 : 475,248.77 = 148,441.71 : x
  2. Step 2: Convert to fraction form
    317,010.21/475,248.77 = 148,441.71/x
  3. Step 3: Cross multiply
    317,010.21x = 475,248.77 × 148,441.71
  4. Step 4: Simplify right side
    317,010.21x = 70,546,741,690.83
  5. Step 5: Solve for x
    x = 70,546,741,690.83/317,010.21
  6. Step 6: Final answer
    x = 222,537.76

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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.