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Finding the Fourth Proportional to 401,454.68, 602,150.72 and 148,616.24

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Solution

The fourth proportional to 401,454.68, 602,150.72 and 148,616.24 is: 222,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,454.68 : 602,150.72 = 148,616.24 : x
  2. Step 2: Convert to fraction form
    401,454.68/602,150.72 = 148,616.24/x
  3. Step 3: Cross multiply
    401,454.68x = 602,150.72 × 148,616.24
  4. Step 4: Simplify right side
    401,454.68x = 89,489,372,165.86
  5. Step 5: Solve for x
    x = 89,489,372,165.86/401,454.68
  6. Step 6: Final answer
    x = 222,912.77

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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.