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Finding the Fourth Proportional to 316,382.76, 474,729.84 and 147,914.64

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Solution

The fourth proportional to 316,382.76, 474,729.84 and 147,914.64 is: 221,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,382.76 : 474,729.84 = 147,914.64 : x
  2. Step 2: Convert to fraction form
    316,382.76/474,729.84 = 147,914.64/x
  3. Step 3: Cross multiply
    316,382.76x = 474,729.84 × 147,914.64
  4. Step 4: Simplify right side
    316,382.76x = 70,219,493,380.86
  5. Step 5: Solve for x
    x = 70,219,493,380.86/316,382.76
  6. Step 6: Final answer
    x = 221,944.75

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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.