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Finding the Fourth Proportional to 6,307,895.36, 8,704,899.10 and 3,407,286.25

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Solution

The fourth proportional to 6,307,895.36, 8,704,899.10 and 3,407,286.25 is: 4,702,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,895.36 : 8,704,899.10 = 3,407,286.25 : x
  2. Step 2: Convert to fraction form
    6,307,895.36/8,704,899.10 = 3,407,286.25/x
  3. Step 3: Cross multiply
    6,307,895.36x = 8,704,899.10 × 3,407,286.25
  4. Step 4: Simplify right side
    6,307,895.36x = 29,660,083,011,067.38
  5. Step 5: Solve for x
    x = 29,660,083,011,067.38/6,307,895.36
  6. Step 6: Final answer
    x = 4,702,056.92

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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.