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Finding the Fourth Proportional to 401,269.74, 601,983.24 and 148,552.30

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Solution

The fourth proportional to 401,269.74, 601,983.24 and 148,552.30 is: 222,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,269.74 : 601,983.24 = 148,552.30 : x
  2. Step 2: Convert to fraction form
    401,269.74/601,983.24 = 148,552.30/x
  3. Step 3: Cross multiply
    401,269.74x = 601,983.24 × 148,552.30
  4. Step 4: Simplify right side
    401,269.74x = 89,425,994,863.45
  5. Step 5: Solve for x
    x = 89,425,994,863.45/401,269.74
  6. Step 6: Final answer
    x = 222,857.56

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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.