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Finding the Fourth Proportional to 320,276.52, 480,251.49 and 106,967.64

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Solution

The fourth proportional to 320,276.52, 480,251.49 and 106,967.64 is: 160,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,276.52 : 480,251.49 = 106,967.64 : x
  2. Step 2: Convert to fraction form
    320,276.52/480,251.49 = 106,967.64/x
  3. Step 3: Cross multiply
    320,276.52x = 480,251.49 × 106,967.64
  4. Step 4: Simplify right side
    320,276.52x = 51,371,368,491.78
  5. Step 5: Solve for x
    x = 51,371,368,491.78/320,276.52
  6. Step 6: Final answer
    x = 160,396.92

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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.