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Finding the Fourth Proportional to 512,833.83, 769,260.65 and 157,847.48

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Solution

The fourth proportional to 512,833.83, 769,260.65 and 157,847.48 is: 236,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,833.83 : 769,260.65 = 157,847.48 : x
  2. Step 2: Convert to fraction form
    512,833.83/769,260.65 = 157,847.48/x
  3. Step 3: Cross multiply
    512,833.83x = 769,260.65 × 157,847.48
  4. Step 4: Simplify right side
    512,833.83x = 121,425,857,641.94
  5. Step 5: Solve for x
    x = 121,425,857,641.94/512,833.83
  6. Step 6: Final answer
    x = 236,774.27

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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.