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Finding the Fourth Proportional to 314,933.40, 472,400.10 and 157,469.40

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Solution

The fourth proportional to 314,933.40, 472,400.10 and 157,469.40 is: 236,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,933.40 : 472,400.10 = 157,469.40 : x
  2. Step 2: Convert to fraction form
    314,933.40/472,400.10 = 157,469.40/x
  3. Step 3: Cross multiply
    314,933.40x = 472,400.10 × 157,469.40
  4. Step 4: Simplify right side
    314,933.40x = 74,388,560,306.94
  5. Step 5: Solve for x
    x = 74,388,560,306.94/314,933.40
  6. Step 6: Final answer
    x = 236,204.10

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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.