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Finding the Fourth Proportional to 401,240.57, 601,939.53 and 148,523.20

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Solution

The fourth proportional to 401,240.57, 601,939.53 and 148,523.20 is: 222,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,240.57 : 601,939.53 = 148,523.20 : x
  2. Step 2: Convert to fraction form
    401,240.57/601,939.53 = 148,523.20/x
  3. Step 3: Cross multiply
    401,240.57x = 601,939.53 × 148,523.20
  4. Step 4: Simplify right side
    401,240.57x = 89,401,983,697.25
  5. Step 5: Solve for x
    x = 89,401,983,697.25/401,240.57
  6. Step 6: Final answer
    x = 222,813.92

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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.