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Finding the Fourth Proportional to 699,894.26, 965,854.31 and 409,561.64

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Solution

The fourth proportional to 699,894.26, 965,854.31 and 409,561.64 is: 565,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,894.26 : 965,854.31 = 409,561.64 : x
  2. Step 2: Convert to fraction form
    699,894.26/965,854.31 = 409,561.64/x
  3. Step 3: Cross multiply
    699,894.26x = 965,854.31 × 409,561.64
  4. Step 4: Simplify right side
    699,894.26x = 395,576,875,204.67
  5. Step 5: Solve for x
    x = 395,576,875,204.67/699,894.26
  6. Step 6: Final answer
    x = 565,195.20

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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.