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Finding the Fourth Proportional to 315,035.40, 472,553.10 and 226,461.90

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Solution

The fourth proportional to 315,035.40, 472,553.10 and 226,461.90 is: 339,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,035.40 : 472,553.10 = 226,461.90 : x
  2. Step 2: Convert to fraction form
    315,035.40/472,553.10 = 226,461.90/x
  3. Step 3: Cross multiply
    315,035.40x = 472,553.10 × 226,461.90
  4. Step 4: Simplify right side
    315,035.40x = 107,015,272,876.89
  5. Step 5: Solve for x
    x = 107,015,272,876.89/315,035.40
  6. Step 6: Final answer
    x = 339,692.85

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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.