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Finding the Fourth Proportional to 565,043.15, 847,634.42 and 185,866.56

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Solution

The fourth proportional to 565,043.15, 847,634.42 and 185,866.56 is: 278,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,043.15 : 847,634.42 = 185,866.56 : x
  2. Step 2: Convert to fraction form
    565,043.15/847,634.42 = 185,866.56/x
  3. Step 3: Cross multiply
    565,043.15x = 847,634.42 × 185,866.56
  4. Step 4: Simplify right side
    565,043.15x = 157,546,894,247.66
  5. Step 5: Solve for x
    x = 157,546,894,247.66/565,043.15
  6. Step 6: Final answer
    x = 278,822.77

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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.