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Finding the Fourth Proportional to 699,894.39, 965,854.48 and 409,561.77

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Solution

The fourth proportional to 699,894.39, 965,854.48 and 409,561.77 is: 565,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,894.39 : 965,854.48 = 409,561.77 : x
  2. Step 2: Convert to fraction form
    699,894.39/965,854.48 = 409,561.77/x
  3. Step 3: Cross multiply
    699,894.39x = 965,854.48 × 409,561.77
  4. Step 4: Simplify right side
    699,894.39x = 395,577,066,585.86
  5. Step 5: Solve for x
    x = 395,577,066,585.86/699,894.39
  6. Step 6: Final answer
    x = 565,195.37

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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.