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Finding the Fourth Proportional to 317,680.40, 476,380.67 and 149,248.59

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Solution

The fourth proportional to 317,680.40, 476,380.67 and 149,248.59 is: 223,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,680.40 : 476,380.67 = 149,248.59 : x
  2. Step 2: Convert to fraction form
    317,680.40/476,380.67 = 149,248.59/x
  3. Step 3: Cross multiply
    317,680.40x = 476,380.67 × 149,248.59
  4. Step 4: Simplify right side
    317,680.40x = 71,099,142,554.51
  5. Step 5: Solve for x
    x = 71,099,142,554.51/317,680.40
  6. Step 6: Final answer
    x = 223,807.15

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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.