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Finding the Fourth Proportional to 322,978.66, 484,305.08 and 188,086.32

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Solution

The fourth proportional to 322,978.66, 484,305.08 and 188,086.32 is: 282,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978.66 : 484,305.08 = 188,086.32 : x
  2. Step 2: Convert to fraction form
    322,978.66/484,305.08 = 188,086.32/x
  3. Step 3: Cross multiply
    322,978.66x = 484,305.08 × 188,086.32
  4. Step 4: Simplify right side
    322,978.66x = 91,091,159,314.07
  5. Step 5: Solve for x
    x = 91,091,159,314.07/322,978.66
  6. Step 6: Final answer
    x = 282,034.61

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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.