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Finding the Fourth Proportional to 327,367.68, 490,931.20 and 116,948.48

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Solution

The fourth proportional to 327,367.68, 490,931.20 and 116,948.48 is: 175,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367.68 : 490,931.20 = 116,948.48 : x
  2. Step 2: Convert to fraction form
    327,367.68/490,931.20 = 116,948.48/x
  3. Step 3: Cross multiply
    327,367.68x = 490,931.20 × 116,948.48
  4. Step 4: Simplify right side
    327,367.68x = 57,413,657,624.58
  5. Step 5: Solve for x
    x = 57,413,657,624.58/327,367.68
  6. Step 6: Final answer
    x = 175,379.74

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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.