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Finding the Fourth Proportional to 401,270.74, 601,984.74 and 148,553.30

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Solution

The fourth proportional to 401,270.74, 601,984.74 and 148,553.30 is: 222,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,270.74 : 601,984.74 = 148,553.30 : x
  2. Step 2: Convert to fraction form
    401,270.74/601,984.74 = 148,553.30/x
  3. Step 3: Cross multiply
    401,270.74x = 601,984.74 × 148,553.30
  4. Step 4: Simplify right side
    401,270.74x = 89,426,819,676.64
  5. Step 5: Solve for x
    x = 89,426,819,676.64/401,270.74
  6. Step 6: Final answer
    x = 222,859.06

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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.