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Finding the Fourth Proportional to 317,806.96, 476,304.99 and 148,954.78

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Solution

The fourth proportional to 317,806.96, 476,304.99 and 148,954.78 is: 223,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,806.96 : 476,304.99 = 148,954.78 : x
  2. Step 2: Convert to fraction form
    317,806.96/476,304.99 = 148,954.78/x
  3. Step 3: Cross multiply
    317,806.96x = 476,304.99 × 148,954.78
  4. Step 4: Simplify right side
    317,806.96x = 70,947,904,998.35
  5. Step 5: Solve for x
    x = 70,947,904,998.35/317,806.96
  6. Step 6: Final answer
    x = 223,242.14

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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.