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Finding the Fourth Proportional to 565,107.86, 847,594.67 and 185,934.58

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Solution

The fourth proportional to 565,107.86, 847,594.67 and 185,934.58 is: 278,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,107.86 : 847,594.67 = 185,934.58 : x
  2. Step 2: Convert to fraction form
    565,107.86/847,594.67 = 185,934.58/x
  3. Step 3: Cross multiply
    565,107.86x = 847,594.67 × 185,934.58
  4. Step 4: Simplify right side
    565,107.86x = 157,597,155,928.03
  5. Step 5: Solve for x
    x = 157,597,155,928.03/565,107.86
  6. Step 6: Final answer
    x = 278,879.78

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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.