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Finding the Fourth Proportional to 327,561.63, 491,050.02 and 127,835.46

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Solution

The fourth proportional to 327,561.63, 491,050.02 and 127,835.46 is: 191,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,561.63 : 491,050.02 = 127,835.46 : x
  2. Step 2: Convert to fraction form
    327,561.63/491,050.02 = 127,835.46/x
  3. Step 3: Cross multiply
    327,561.63x = 491,050.02 × 127,835.46
  4. Step 4: Simplify right side
    327,561.63x = 62,773,605,189.71
  5. Step 5: Solve for x
    x = 62,773,605,189.71/327,561.63
  6. Step 6: Final answer
    x = 191,639.07

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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.