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Finding the Fourth Proportional to 7,205,446.22, 9,942,533.74 and 4,304,221.22

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Solution

The fourth proportional to 7,205,446.22, 9,942,533.74 and 4,304,221.22 is: 5,939,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205,446.22 : 9,942,533.74 = 4,304,221.22 : x
  2. Step 2: Convert to fraction form
    7,205,446.22/9,942,533.74 = 4,304,221.22/x
  3. Step 3: Cross multiply
    7,205,446.22x = 9,942,533.74 × 4,304,221.22
  4. Step 4: Simplify right side
    7,205,446.22x = 42,794,864,704,273.96
  5. Step 5: Solve for x
    x = 42,794,864,704,273.96/7,205,446.22
  6. Step 6: Final answer
    x = 5,939,238.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.