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Finding the Fourth Proportional to 317,670.82, 476,366.31 and 149,239.01

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Solution

The fourth proportional to 317,670.82, 476,366.31 and 149,239.01 is: 223,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670.82 : 476,366.31 = 149,239.01 : x
  2. Step 2: Convert to fraction form
    317,670.82/476,366.31 = 149,239.01/x
  3. Step 3: Cross multiply
    317,670.82x = 476,366.31 × 149,239.01
  4. Step 4: Simplify right side
    317,670.82x = 71,092,436,501.75
  5. Step 5: Solve for x
    x = 71,092,436,501.75/317,670.82
  6. Step 6: Final answer
    x = 223,792.78

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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.