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Finding the Fourth Proportional to 533,752.91, 800,503.59 and 196,610.48

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Solution

The fourth proportional to 533,752.91, 800,503.59 and 196,610.48 is: 294,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,752.91 : 800,503.59 = 196,610.48 : x
  2. Step 2: Convert to fraction form
    533,752.91/800,503.59 = 196,610.48/x
  3. Step 3: Cross multiply
    533,752.91x = 800,503.59 × 196,610.48
  4. Step 4: Simplify right side
    533,752.91x = 157,387,395,071.62
  5. Step 5: Solve for x
    x = 157,387,395,071.62/533,752.91
  6. Step 6: Final answer
    x = 294,869.39

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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.