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Finding the Fourth Proportional to 512,987.94, 769,564.62 and 158,001.84

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Solution

The fourth proportional to 512,987.94, 769,564.62 and 158,001.84 is: 237,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,987.94 : 769,564.62 = 158,001.84 : x
  2. Step 2: Convert to fraction form
    512,987.94/769,564.62 = 158,001.84/x
  3. Step 3: Cross multiply
    512,987.94x = 769,564.62 × 158,001.84
  4. Step 4: Simplify right side
    512,987.94x = 121,592,625,958.90
  5. Step 5: Solve for x
    x = 121,592,625,958.90/512,987.94
  6. Step 6: Final answer
    x = 237,028.23

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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.