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Finding the Fourth Proportional to 474,115.38, 711,173.72 and 193,632.63

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Solution

The fourth proportional to 474,115.38, 711,173.72 and 193,632.63 is: 290,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,115.38 : 711,173.72 = 193,632.63 : x
  2. Step 2: Convert to fraction form
    474,115.38/711,173.72 = 193,632.63/x
  3. Step 3: Cross multiply
    474,115.38x = 711,173.72 × 193,632.63
  4. Step 4: Simplify right side
    474,115.38x = 137,706,435,607.66
  5. Step 5: Solve for x
    x = 137,706,435,607.66/474,115.38
  6. Step 6: Final answer
    x = 290,449.21

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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.