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Finding the Fourth Proportional to 512,548.40, 768,896.08 and 157,592.22

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Solution

The fourth proportional to 512,548.40, 768,896.08 and 157,592.22 is: 236,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,548.40 : 768,896.08 = 157,592.22 : x
  2. Step 2: Convert to fraction form
    512,548.40/768,896.08 = 157,592.22/x
  3. Step 3: Cross multiply
    512,548.40x = 768,896.08 × 157,592.22
  4. Step 4: Simplify right side
    512,548.40x = 121,172,040,196.50
  5. Step 5: Solve for x
    x = 121,172,040,196.50/512,548.40
  6. Step 6: Final answer
    x = 236,410.92

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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.