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Finding the Fourth Proportional to 431,996.58, 648,284.16 and 179,277.30

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Solution

The fourth proportional to 431,996.58, 648,284.16 and 179,277.30 is: 269,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,996.58 : 648,284.16 = 179,277.30 : x
  2. Step 2: Convert to fraction form
    431,996.58/648,284.16 = 179,277.30/x
  3. Step 3: Cross multiply
    431,996.58x = 648,284.16 × 179,277.30
  4. Step 4: Simplify right side
    431,996.58x = 116,222,633,837.57
  5. Step 5: Solve for x
    x = 116,222,633,837.57/431,996.58
  6. Step 6: Final answer
    x = 269,036.00

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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.