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Finding the Fourth Proportional to 5,296,699.92, 7,945,123.72 and 1,510,182.78

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Solution

The fourth proportional to 5,296,699.92, 7,945,123.72 and 1,510,182.78 is: 2,265,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,699.92 : 7,945,123.72 = 1,510,182.78 : x
  2. Step 2: Convert to fraction form
    5,296,699.92/7,945,123.72 = 1,510,182.78/x
  3. Step 3: Cross multiply
    5,296,699.92x = 7,945,123.72 × 1,510,182.78
  4. Step 4: Simplify right side
    5,296,699.92x = 11,998,589,026,913.54
  5. Step 5: Solve for x
    x = 11,998,589,026,913.54/5,296,699.92
  6. Step 6: Final answer
    x = 2,265,295.22

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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.