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Finding the Fourth Proportional to 474,967.40, 711,846.30 and 194,167.40

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Solution

The fourth proportional to 474,967.40, 711,846.30 and 194,167.40 is: 291,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,967.40 : 711,846.30 = 194,167.40 : x
  2. Step 2: Convert to fraction form
    474,967.40/711,846.30 = 194,167.40/x
  3. Step 3: Cross multiply
    474,967.40x = 711,846.30 × 194,167.40
  4. Step 4: Simplify right side
    474,967.40x = 138,217,345,270.62
  5. Step 5: Solve for x
    x = 138,217,345,270.62/474,967.40
  6. Step 6: Final answer
    x = 291,003.86

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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.