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Finding the Fourth Proportional to 318,878.60, 477,396.30 and 194,462.60

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Solution

The fourth proportional to 318,878.60, 477,396.30 and 194,462.60 is: 291,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,878.60 : 477,396.30 = 194,462.60 : x
  2. Step 2: Convert to fraction form
    318,878.60/477,396.30 = 194,462.60/x
  3. Step 3: Cross multiply
    318,878.60x = 477,396.30 × 194,462.60
  4. Step 4: Simplify right side
    318,878.60x = 92,835,725,728.38
  5. Step 5: Solve for x
    x = 92,835,725,728.38/318,878.60
  6. Step 6: Final answer
    x = 291,131.88

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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.