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Finding the Fourth Proportional to 317,319.16, 475,980.30 and 106,958.92

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Solution

The fourth proportional to 317,319.16, 475,980.30 and 106,958.92 is: 160,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,319.16 : 475,980.30 = 106,958.92 : x
  2. Step 2: Convert to fraction form
    317,319.16/475,980.30 = 106,958.92/x
  3. Step 3: Cross multiply
    317,319.16x = 475,980.30 × 106,958.92
  4. Step 4: Simplify right side
    317,319.16x = 50,910,338,829.28
  5. Step 5: Solve for x
    x = 50,910,338,829.28/317,319.16
  6. Step 6: Final answer
    x = 160,438.91

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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.