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Finding the Fourth Proportional to 3,420,714.40, 5,127,572.40 and 2,000,039.20

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Solution

The fourth proportional to 3,420,714.40, 5,127,572.40 and 2,000,039.20 is: 2,998,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420,714.40 : 5,127,572.40 = 2,000,039.20 : x
  2. Step 2: Convert to fraction form
    3,420,714.40/5,127,572.40 = 2,000,039.20/x
  3. Step 3: Cross multiply
    3,420,714.40x = 5,127,572.40 × 2,000,039.20
  4. Step 4: Simplify right side
    3,420,714.40x = 10,255,345,800,838.08
  5. Step 5: Solve for x
    x = 10,255,345,800,838.08/3,420,714.40
  6. Step 6: Final answer
    x = 2,998,012.87

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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.