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Finding the Fourth Proportional to 433,092.61, 649,751.01 and 133,566.58

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Solution

The fourth proportional to 433,092.61, 649,751.01 and 133,566.58 is: 200,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,092.61 : 649,751.01 = 133,566.58 : x
  2. Step 2: Convert to fraction form
    433,092.61/649,751.01 = 133,566.58/x
  3. Step 3: Cross multiply
    433,092.61x = 649,751.01 × 133,566.58
  4. Step 4: Simplify right side
    433,092.61x = 86,785,020,257.25
  5. Step 5: Solve for x
    x = 86,785,020,257.25/433,092.61
  6. Step 6: Final answer
    x = 200,384.44

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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.