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Finding the Fourth Proportional to 310,939.97, 466,497.43 and 111,288.74

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Solution

The fourth proportional to 310,939.97, 466,497.43 and 111,288.74 is: 166,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,939.97 : 466,497.43 = 111,288.74 : x
  2. Step 2: Convert to fraction form
    310,939.97/466,497.43 = 111,288.74/x
  3. Step 3: Cross multiply
    310,939.97x = 466,497.43 × 111,288.74
  4. Step 4: Simplify right side
    310,939.97x = 51,915,908,587.23
  5. Step 5: Solve for x
    x = 51,915,908,587.23/310,939.97
  6. Step 6: Final answer
    x = 166,964.41

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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.