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Finding the Fourth Proportional to 6,406,422.64, 8,850,465.60 and 4,206,504.64

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Solution

The fourth proportional to 6,406,422.64, 8,850,465.60 and 4,206,504.64 is: 5,811,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406,422.64 : 8,850,465.60 = 4,206,504.64 : x
  2. Step 2: Convert to fraction form
    6,406,422.64/8,850,465.60 = 4,206,504.64/x
  3. Step 3: Cross multiply
    6,406,422.64x = 8,850,465.60 × 4,206,504.64
  4. Step 4: Simplify right side
    6,406,422.64x = 37,229,524,612,560.38
  5. Step 5: Solve for x
    x = 37,229,524,612,560.38/6,406,422.64
  6. Step 6: Final answer
    x = 5,811,281.38

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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.