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Finding the Fourth Proportional to 322,322.34, 483,251.93 and 151,447.70

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Solution

The fourth proportional to 322,322.34, 483,251.93 and 151,447.70 is: 227,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,322.34 : 483,251.93 = 151,447.70 : x
  2. Step 2: Convert to fraction form
    322,322.34/483,251.93 = 151,447.70/x
  3. Step 3: Cross multiply
    322,322.34x = 483,251.93 × 151,447.70
  4. Step 4: Simplify right side
    322,322.34x = 73,187,393,319.06
  5. Step 5: Solve for x
    x = 73,187,393,319.06/322,322.34
  6. Step 6: Final answer
    x = 227,062.74

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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.