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Finding the Fourth Proportional to 397,494.20, 596,241.30 and 102,006.20

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Solution

The fourth proportional to 397,494.20, 596,241.30 and 102,006.20 is: 153,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,494.20 : 596,241.30 = 102,006.20 : x
  2. Step 2: Convert to fraction form
    397,494.20/596,241.30 = 102,006.20/x
  3. Step 3: Cross multiply
    397,494.20x = 596,241.30 × 102,006.20
  4. Step 4: Simplify right side
    397,494.20x = 60,820,309,296.06
  5. Step 5: Solve for x
    x = 60,820,309,296.06/397,494.20
  6. Step 6: Final answer
    x = 153,009.30

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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.