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Finding the Fourth Proportional to 699,398.79, 965,171.80 and 412,937.33

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Solution

The fourth proportional to 699,398.79, 965,171.80 and 412,937.33 is: 569,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,398.79 : 965,171.80 = 412,937.33 : x
  2. Step 2: Convert to fraction form
    699,398.79/965,171.80 = 412,937.33/x
  3. Step 3: Cross multiply
    699,398.79x = 965,171.80 × 412,937.33
  4. Step 4: Simplify right side
    699,398.79x = 398,555,461,773.61
  5. Step 5: Solve for x
    x = 398,555,461,773.61/699,398.79
  6. Step 6: Final answer
    x = 569,854.38

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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.