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Finding the Fourth Proportional to 468,008.40, 702,012.60 and 202,287.90

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Solution

The fourth proportional to 468,008.40, 702,012.60 and 202,287.90 is: 303,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,008.40 : 702,012.60 = 202,287.90 : x
  2. Step 2: Convert to fraction form
    468,008.40/702,012.60 = 202,287.90/x
  3. Step 3: Cross multiply
    468,008.40x = 702,012.60 × 202,287.90
  4. Step 4: Simplify right side
    468,008.40x = 142,008,654,627.54
  5. Step 5: Solve for x
    x = 142,008,654,627.54/468,008.40
  6. Step 6: Final answer
    x = 303,431.85

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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.