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Finding the Fourth Proportional to 512,952.42, 769,392.16 and 157,929.42

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Solution

The fourth proportional to 512,952.42, 769,392.16 and 157,929.42 is: 236,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952.42 : 769,392.16 = 157,929.42 : x
  2. Step 2: Convert to fraction form
    512,952.42/769,392.16 = 157,929.42/x
  3. Step 3: Cross multiply
    512,952.42x = 769,392.16 × 157,929.42
  4. Step 4: Simplify right side
    512,952.42x = 121,509,657,581.35
  5. Step 5: Solve for x
    x = 121,509,657,581.35/512,952.42
  6. Step 6: Final answer
    x = 236,882.90

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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.