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Finding the Fourth Proportional to 474,709.14, 712,061.91 and 194,226.30

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Solution

The fourth proportional to 474,709.14, 712,061.91 and 194,226.30 is: 291,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,709.14 : 712,061.91 = 194,226.30 : x
  2. Step 2: Convert to fraction form
    474,709.14/712,061.91 = 194,226.30/x
  3. Step 3: Cross multiply
    474,709.14x = 712,061.91 × 194,226.30
  4. Step 4: Simplify right side
    474,709.14x = 138,301,150,150.23
  5. Step 5: Solve for x
    x = 138,301,150,150.23/474,709.14
  6. Step 6: Final answer
    x = 291,338.71

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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.