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Finding the Fourth Proportional to 5,207,854.56, 7,811,392.92 and 1,613,649.12

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Solution

The fourth proportional to 5,207,854.56, 7,811,392.92 and 1,613,649.12 is: 2,420,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,854.56 : 7,811,392.92 = 1,613,649.12 : x
  2. Step 2: Convert to fraction form
    5,207,854.56/7,811,392.92 = 1,613,649.12/x
  3. Step 3: Cross multiply
    5,207,854.56x = 7,811,392.92 × 1,613,649.12
  4. Step 4: Simplify right side
    5,207,854.56x = 12,604,847,311,332.23
  5. Step 5: Solve for x
    x = 12,604,847,311,332.23/5,207,854.56
  6. Step 6: Final answer
    x = 2,420,353.17

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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.