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Finding the Fourth Proportional to 308,305.29, 462,177.67 and 118,644.72

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Solution

The fourth proportional to 308,305.29, 462,177.67 and 118,644.72 is: 177,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,305.29 : 462,177.67 = 118,644.72 : x
  2. Step 2: Convert to fraction form
    308,305.29/462,177.67 = 118,644.72/x
  3. Step 3: Cross multiply
    308,305.29x = 462,177.67 × 118,644.72
  4. Step 4: Simplify right side
    308,305.29x = 54,834,940,247.40
  5. Step 5: Solve for x
    x = 54,834,940,247.40/308,305.29
  6. Step 6: Final answer
    x = 177,859.23

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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.