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Finding the Fourth Proportional to 401,035.90, 601,553.85 and 164,548.30

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Solution

The fourth proportional to 401,035.90, 601,553.85 and 164,548.30 is: 246,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,035.90 : 601,553.85 = 164,548.30 : x
  2. Step 2: Convert to fraction form
    401,035.90/601,553.85 = 164,548.30/x
  3. Step 3: Cross multiply
    401,035.90x = 601,553.85 × 164,548.30
  4. Step 4: Simplify right side
    401,035.90x = 98,984,663,375.96
  5. Step 5: Solve for x
    x = 98,984,663,375.96/401,035.90
  6. Step 6: Final answer
    x = 246,822.45

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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.