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Finding the Fourth Proportional to 311,884.71, 430,399.62 and 168,644.72

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Solution

The fourth proportional to 311,884.71, 430,399.62 and 168,644.72 is: 232,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,884.71 : 430,399.62 = 168,644.72 : x
  2. Step 2: Convert to fraction form
    311,884.71/430,399.62 = 168,644.72/x
  3. Step 3: Cross multiply
    311,884.71x = 430,399.62 × 168,644.72
  4. Step 4: Simplify right side
    311,884.71x = 72,584,621,251.01
  5. Step 5: Solve for x
    x = 72,584,621,251.01/311,884.71
  6. Step 6: Final answer
    x = 232,729.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.