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Finding the Fourth Proportional to 397,896.69, 596,825.59 and 148,559.25

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Solution

The fourth proportional to 397,896.69, 596,825.59 and 148,559.25 is: 222,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,896.69 : 596,825.59 = 148,559.25 : x
  2. Step 2: Convert to fraction form
    397,896.69/596,825.59 = 148,559.25/x
  3. Step 3: Cross multiply
    397,896.69x = 596,825.59 × 148,559.25
  4. Step 4: Simplify right side
    397,896.69x = 88,663,962,031.21
  5. Step 5: Solve for x
    x = 88,663,962,031.21/397,896.69
  6. Step 6: Final answer
    x = 222,831.61

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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.