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Finding the Fourth Proportional to 397,630.16, 592,233.83 and 395,692.61

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Solution

The fourth proportional to 397,630.16, 592,233.83 and 395,692.61 is: 589,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,630.16 : 592,233.83 = 395,692.61 : x
  2. Step 2: Convert to fraction form
    397,630.16/592,233.83 = 395,692.61/x
  3. Step 3: Cross multiply
    397,630.16x = 592,233.83 × 395,692.61
  4. Step 4: Simplify right side
    397,630.16x = 234,342,544,983.36
  5. Step 5: Solve for x
    x = 234,342,544,983.36/397,630.16
  6. Step 6: Final answer
    x = 589,348.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.