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Finding the Fourth Proportional to 322,403.46, 483,978.83 and 172,935.66

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Solution

The fourth proportional to 322,403.46, 483,978.83 and 172,935.66 is: 259,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403.46 : 483,978.83 = 172,935.66 : x
  2. Step 2: Convert to fraction form
    322,403.46/483,978.83 = 172,935.66/x
  3. Step 3: Cross multiply
    322,403.46x = 483,978.83 × 172,935.66
  4. Step 4: Simplify right side
    322,403.46x = 83,697,198,392.08
  5. Step 5: Solve for x
    x = 83,697,198,392.08/322,403.46
  6. Step 6: Final answer
    x = 259,603.91

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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.