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Finding the Fourth Proportional to 397,684.88, 596,338.68 and 144,786.32

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Solution

The fourth proportional to 397,684.88, 596,338.68 and 144,786.32 is: 217,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,684.88 : 596,338.68 = 144,786.32 : x
  2. Step 2: Convert to fraction form
    397,684.88/596,338.68 = 144,786.32/x
  3. Step 3: Cross multiply
    397,684.88x = 596,338.68 × 144,786.32
  4. Step 4: Simplify right side
    397,684.88x = 86,341,682,950.86
  5. Step 5: Solve for x
    x = 86,341,682,950.86/397,684.88
  6. Step 6: Final answer
    x = 217,110.80

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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.