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Finding the Fourth Proportional to 741,909.11, 1,023,794.03 and 419,683.82

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Solution

The fourth proportional to 741,909.11, 1,023,794.03 and 419,683.82 is: 579,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,909.11 : 1,023,794.03 = 419,683.82 : x
  2. Step 2: Convert to fraction form
    741,909.11/1,023,794.03 = 419,683.82/x
  3. Step 3: Cross multiply
    741,909.11x = 1,023,794.03 × 419,683.82
  4. Step 4: Simplify right side
    741,909.11x = 429,669,785,333.83
  5. Step 5: Solve for x
    x = 429,669,785,333.83/741,909.11
  6. Step 6: Final answer
    x = 579,140.74

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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.