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Finding the Fourth Proportional to 433,092.87, 649,477.47 and 148,702.68

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Solution

The fourth proportional to 433,092.87, 649,477.47 and 148,702.68 is: 222,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,092.87 : 649,477.47 = 148,702.68 : x
  2. Step 2: Convert to fraction form
    433,092.87/649,477.47 = 148,702.68/x
  3. Step 3: Cross multiply
    433,092.87x = 649,477.47 × 148,702.68
  4. Step 4: Simplify right side
    433,092.87x = 96,579,040,388.62
  5. Step 5: Solve for x
    x = 96,579,040,388.62/433,092.87
  6. Step 6: Final answer
    x = 222,998.45

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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.