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Finding the Fourth Proportional to 474,683.20, 712,286.88 and 194,396.80

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Solution

The fourth proportional to 474,683.20, 712,286.88 and 194,396.80 is: 291,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,683.20 : 712,286.88 = 194,396.80 : x
  2. Step 2: Convert to fraction form
    474,683.20/712,286.88 = 194,396.80/x
  3. Step 3: Cross multiply
    474,683.20x = 712,286.88 × 194,396.80
  4. Step 4: Simplify right side
    474,683.20x = 138,466,290,153.98
  5. Step 5: Solve for x
    x = 138,466,290,153.98/474,683.20
  6. Step 6: Final answer
    x = 291,702.53

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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.