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Finding the Fourth Proportional to 419,859.24, 579,049.20 and 354,766.98

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Solution

The fourth proportional to 419,859.24, 579,049.20 and 354,766.98 is: 489,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859.24 : 579,049.20 = 354,766.98 : x
  2. Step 2: Convert to fraction form
    419,859.24/579,049.20 = 354,766.98/x
  3. Step 3: Cross multiply
    419,859.24x = 579,049.20 × 354,766.98
  4. Step 4: Simplify right side
    419,859.24x = 205,427,535,955.42
  5. Step 5: Solve for x
    x = 205,427,535,955.42/419,859.24
  6. Step 6: Final answer
    x = 489,277.16

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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.