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Finding the Fourth Proportional to 5,294,640.60, 7,941,046.82 and 1,404,124.74

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Solution

The fourth proportional to 5,294,640.60, 7,941,046.82 and 1,404,124.74 is: 2,105,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294,640.60 : 7,941,046.82 = 1,404,124.74 : x
  2. Step 2: Convert to fraction form
    5,294,640.60/7,941,046.82 = 1,404,124.74/x
  3. Step 3: Cross multiply
    5,294,640.60x = 7,941,046.82 × 1,404,124.74
  4. Step 4: Simplify right side
    5,294,640.60x = 11,150,220,294,439.70
  5. Step 5: Solve for x
    x = 11,150,220,294,439.70/5,294,640.60
  6. Step 6: Final answer
    x = 2,105,944.70

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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.