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Finding the Fourth Proportional to 468,098.40, 702,147.60 and 187,816.80

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Solution

The fourth proportional to 468,098.40, 702,147.60 and 187,816.80 is: 281,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,098.40 : 702,147.60 = 187,816.80 : x
  2. Step 2: Convert to fraction form
    468,098.40/702,147.60 = 187,816.80/x
  3. Step 3: Cross multiply
    468,098.40x = 702,147.60 × 187,816.80
  4. Step 4: Simplify right side
    468,098.40x = 131,875,115,359.68
  5. Step 5: Solve for x
    x = 131,875,115,359.68/468,098.40
  6. Step 6: Final answer
    x = 281,725.20

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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.