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Finding the Fourth Proportional to 308,232.40, 462,348.60 and 160,469.20

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Solution

The fourth proportional to 308,232.40, 462,348.60 and 160,469.20 is: 240,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232.40 : 462,348.60 = 160,469.20 : x
  2. Step 2: Convert to fraction form
    308,232.40/462,348.60 = 160,469.20/x
  3. Step 3: Cross multiply
    308,232.40x = 462,348.60 × 160,469.20
  4. Step 4: Simplify right side
    308,232.40x = 74,192,709,963.12
  5. Step 5: Solve for x
    x = 74,192,709,963.12/308,232.40
  6. Step 6: Final answer
    x = 240,703.80

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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.