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Finding the Fourth Proportional to 317,185.34, 475,778.82 and 106,970.90

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Solution

The fourth proportional to 317,185.34, 475,778.82 and 106,970.90 is: 160,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,185.34 : 475,778.82 = 106,970.90 : x
  2. Step 2: Convert to fraction form
    317,185.34/475,778.82 = 106,970.90/x
  3. Step 3: Cross multiply
    317,185.34x = 475,778.82 × 106,970.90
  4. Step 4: Simplify right side
    317,185.34x = 50,894,488,576.34
  5. Step 5: Solve for x
    x = 50,894,488,576.34/317,185.34
  6. Step 6: Final answer
    x = 160,456.62

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1.5x scale

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.