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Finding the Fourth Proportional to 436,640.52, 654,753.36 and 152,296.52

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Solution

The fourth proportional to 436,640.52, 654,753.36 and 152,296.52 is: 228,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,640.52 : 654,753.36 = 152,296.52 : x
  2. Step 2: Convert to fraction form
    436,640.52/654,753.36 = 152,296.52/x
  3. Step 3: Cross multiply
    436,640.52x = 654,753.36 × 152,296.52
  4. Step 4: Simplify right side
    436,640.52x = 99,716,654,151.06
  5. Step 5: Solve for x
    x = 99,716,654,151.06/436,640.52
  6. Step 6: Final answer
    x = 228,372.42

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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.