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Finding the Fourth Proportional to 402,910.20, 604,830.90 and 216,286.20

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Solution

The fourth proportional to 402,910.20, 604,830.90 and 216,286.20 is: 324,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,910.20 : 604,830.90 = 216,286.20 : x
  2. Step 2: Convert to fraction form
    402,910.20/604,830.90 = 216,286.20/x
  3. Step 3: Cross multiply
    402,910.20x = 604,830.90 × 216,286.20
  4. Step 4: Simplify right side
    402,910.20x = 130,816,577,003.58
  5. Step 5: Solve for x
    x = 130,816,577,003.58/402,910.20
  6. Step 6: Final answer
    x = 324,679.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.