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Finding the Fourth Proportional to 433,098.47, 649,717.76 and 133,508.98

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Solution

The fourth proportional to 433,098.47, 649,717.76 and 133,508.98 is: 200,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,098.47 : 649,717.76 = 133,508.98 : x
  2. Step 2: Convert to fraction form
    433,098.47/649,717.76 = 133,508.98/x
  3. Step 3: Cross multiply
    433,098.47x = 649,717.76 × 133,508.98
  4. Step 4: Simplify right side
    433,098.47x = 86,743,156,739.57
  5. Step 5: Solve for x
    x = 86,743,156,739.57/433,098.47
  6. Step 6: Final answer
    x = 200,285.07

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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.