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Finding the Fourth Proportional to 397,633.92, 596,431.44 and 148,296.48

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Solution

The fourth proportional to 397,633.92, 596,431.44 and 148,296.48 is: 222,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,633.92 : 596,431.44 = 148,296.48 : x
  2. Step 2: Convert to fraction form
    397,633.92/596,431.44 = 148,296.48/x
  3. Step 3: Cross multiply
    397,633.92x = 596,431.44 × 148,296.48
  4. Step 4: Simplify right side
    397,633.92x = 88,448,683,113.33
  5. Step 5: Solve for x
    x = 88,448,683,113.33/397,633.92
  6. Step 6: Final answer
    x = 222,437.47

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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.