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Finding the Fourth Proportional to 433,296.52, 649,706.54 and 133,695.40

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Solution

The fourth proportional to 433,296.52, 649,706.54 and 133,695.40 is: 200,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,296.52 : 649,706.54 = 133,695.40 : x
  2. Step 2: Convert to fraction form
    433,296.52/649,706.54 = 133,695.40/x
  3. Step 3: Cross multiply
    433,296.52x = 649,706.54 × 133,695.40
  4. Step 4: Simplify right side
    433,296.52x = 86,862,775,747.92
  5. Step 5: Solve for x
    x = 86,862,775,747.92/433,296.52
  6. Step 6: Final answer
    x = 200,469.59

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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.