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Finding the Fourth Proportional to 512,972.16, 769,421.79 and 157,949.16

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Solution

The fourth proportional to 512,972.16, 769,421.79 and 157,949.16 is: 236,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,972.16 : 769,421.79 = 157,949.16 : x
  2. Step 2: Convert to fraction form
    512,972.16/769,421.79 = 157,949.16/x
  3. Step 3: Cross multiply
    512,972.16x = 769,421.79 × 157,949.16
  4. Step 4: Simplify right side
    512,972.16x = 121,529,525,416.20
  5. Step 5: Solve for x
    x = 121,529,525,416.20/512,972.16
  6. Step 6: Final answer
    x = 236,912.52

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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.