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Finding the Fourth Proportional to 327,681.60, 491,176.80 and 127,924.80

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Solution

The fourth proportional to 327,681.60, 491,176.80 and 127,924.80 is: 191,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,681.60 : 491,176.80 = 127,924.80 : x
  2. Step 2: Convert to fraction form
    327,681.60/491,176.80 = 127,924.80/x
  3. Step 3: Cross multiply
    327,681.60x = 491,176.80 × 127,924.80
  4. Step 4: Simplify right side
    327,681.60x = 62,833,693,904.64
  5. Step 5: Solve for x
    x = 62,833,693,904.64/327,681.60
  6. Step 6: Final answer
    x = 191,752.28

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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.