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Finding the Fourth Proportional to 213,479.27, 320,271.47 and 150,422.54

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Solution

The fourth proportional to 213,479.27, 320,271.47 and 150,422.54 is: 225,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,479.27 : 320,271.47 = 150,422.54 : x
  2. Step 2: Convert to fraction form
    213,479.27/320,271.47 = 150,422.54/x
  3. Step 3: Cross multiply
    213,479.27x = 320,271.47 × 150,422.54
  4. Step 4: Simplify right side
    213,479.27x = 48,176,048,919.84
  5. Step 5: Solve for x
    x = 48,176,048,919.84/213,479.27
  6. Step 6: Final answer
    x = 225,670.85

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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.