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Finding the Fourth Proportional to 6,458,184.92, 9,683,914.16 and 2,411,344.82

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Solution

The fourth proportional to 6,458,184.92, 9,683,914.16 and 2,411,344.82 is: 3,615,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,184.92 : 9,683,914.16 = 2,411,344.82 : x
  2. Step 2: Convert to fraction form
    6,458,184.92/9,683,914.16 = 2,411,344.82/x
  3. Step 3: Cross multiply
    6,458,184.92x = 9,683,914.16 × 2,411,344.82
  4. Step 4: Simplify right side
    6,458,184.92x = 23,351,256,247,040.65
  5. Step 5: Solve for x
    x = 23,351,256,247,040.65/6,458,184.92
  6. Step 6: Final answer
    x = 3,615,761.48

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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.