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Finding the Fourth Proportional to 6,458,757.12, 9,684,772.56 and 2,411,917.20

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Solution

The fourth proportional to 6,458,757.12, 9,684,772.56 and 2,411,917.20 is: 3,616,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,757.12 : 9,684,772.56 = 2,411,917.20 : x
  2. Step 2: Convert to fraction form
    6,458,757.12/9,684,772.56 = 2,411,917.20/x
  3. Step 3: Cross multiply
    6,458,757.12x = 9,684,772.56 × 2,411,917.20
  4. Step 4: Simplify right side
    6,458,757.12x = 23,358,869,515,552.04
  5. Step 5: Solve for x
    x = 23,358,869,515,552.04/6,458,757.12
  6. Step 6: Final answer
    x = 3,616,619.90

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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.