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Finding the Fourth Proportional to 310,715.46, 466,171.11 and 111,031.38

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Solution

The fourth proportional to 310,715.46, 466,171.11 and 111,031.38 is: 166,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,715.46 : 466,171.11 = 111,031.38 : x
  2. Step 2: Convert to fraction form
    310,715.46/466,171.11 = 111,031.38/x
  3. Step 3: Cross multiply
    310,715.46x = 466,171.11 × 111,031.38
  4. Step 4: Simplify right side
    310,715.46x = 51,759,621,659.43
  5. Step 5: Solve for x
    x = 51,759,621,659.43/310,715.46
  6. Step 6: Final answer
    x = 166,582.06

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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.