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Finding the Fourth Proportional to 314,936.40, 472,404.60 and 196,838.40

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Solution

The fourth proportional to 314,936.40, 472,404.60 and 196,838.40 is: 295,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,936.40 : 472,404.60 = 196,838.40 : x
  2. Step 2: Convert to fraction form
    314,936.40/472,404.60 = 196,838.40/x
  3. Step 3: Cross multiply
    314,936.40x = 472,404.60 × 196,838.40
  4. Step 4: Simplify right side
    314,936.40x = 92,987,365,616.64
  5. Step 5: Solve for x
    x = 92,987,365,616.64/314,936.40
  6. Step 6: Final answer
    x = 295,257.60

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1.5x scale

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.