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Finding the Fourth Proportional to 361,813.68, 542,737.53 and 298,516.50

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Solution

The fourth proportional to 361,813.68, 542,737.53 and 298,516.50 is: 447,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,813.68 : 542,737.53 = 298,516.50 : x
  2. Step 2: Convert to fraction form
    361,813.68/542,737.53 = 298,516.50/x
  3. Step 3: Cross multiply
    361,813.68x = 542,737.53 × 298,516.50
  4. Step 4: Simplify right side
    361,813.68x = 162,016,107,874.25
  5. Step 5: Solve for x
    x = 162,016,107,874.25/361,813.68
  6. Step 6: Final answer
    x = 447,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.