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Finding the Fourth Proportional to 442,205.86, 662,835.81 and 228,758.92

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Solution

The fourth proportional to 442,205.86, 662,835.81 and 228,758.92 is: 342,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,205.86 : 662,835.81 = 228,758.92 : x
  2. Step 2: Convert to fraction form
    442,205.86/662,835.81 = 228,758.92/x
  3. Step 3: Cross multiply
    442,205.86x = 662,835.81 × 228,758.92
  4. Step 4: Simplify right side
    442,205.86x = 151,629,604,032.93
  5. Step 5: Solve for x
    x = 151,629,604,032.93/442,205.86
  6. Step 6: Final answer
    x = 342,893.70

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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.