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Finding the Fourth Proportional to 565,142.58, 847,394.73 and 185,961.06

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Solution

The fourth proportional to 565,142.58, 847,394.73 and 185,961.06 is: 278,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,142.58 : 847,394.73 = 185,961.06 : x
  2. Step 2: Convert to fraction form
    565,142.58/847,394.73 = 185,961.06/x
  3. Step 3: Cross multiply
    565,142.58x = 847,394.73 × 185,961.06
  4. Step 4: Simplify right side
    565,142.58x = 157,582,422,229.21
  5. Step 5: Solve for x
    x = 157,582,422,229.21/565,142.58
  6. Step 6: Final answer
    x = 278,836.58

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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.