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Finding the Fourth Proportional to 401,240.67, 601,939.80 and 148,523.25

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Solution

The fourth proportional to 401,240.67, 601,939.80 and 148,523.25 is: 222,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,240.67 : 601,939.80 = 148,523.25 : x
  2. Step 2: Convert to fraction form
    401,240.67/601,939.80 = 148,523.25/x
  3. Step 3: Cross multiply
    401,240.67x = 601,939.80 × 148,523.25
  4. Step 4: Simplify right side
    401,240.67x = 89,402,055,400.35
  5. Step 5: Solve for x
    x = 89,402,055,400.35/401,240.67
  6. Step 6: Final answer
    x = 222,814.04

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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.