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Finding the Fourth Proportional to 6,399,856.80, 9,610,844.40 and 3,413,872.80

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Solution

The fourth proportional to 6,399,856.80, 9,610,844.40 and 3,413,872.80 is: 5,126,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399,856.80 : 9,610,844.40 = 3,413,872.80 : x
  2. Step 2: Convert to fraction form
    6,399,856.80/9,610,844.40 = 3,413,872.80/x
  3. Step 3: Cross multiply
    6,399,856.80x = 9,610,844.40 × 3,413,872.80
  4. Step 4: Simplify right side
    6,399,856.80x = 32,810,200,282,192.32
  5. Step 5: Solve for x
    x = 32,810,200,282,192.32/6,399,856.80
  6. Step 6: Final answer
    x = 5,126,708.50

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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.