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Finding the Fourth Proportional to 395,513.44, 592,857.52 and 195,709.12

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Solution

The fourth proportional to 395,513.44, 592,857.52 and 195,709.12 is: 293,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,513.44 : 592,857.52 = 195,709.12 : x
  2. Step 2: Convert to fraction form
    395,513.44/592,857.52 = 195,709.12/x
  3. Step 3: Cross multiply
    395,513.44x = 592,857.52 × 195,709.12
  4. Step 4: Simplify right side
    395,513.44x = 116,027,623,524.58
  5. Step 5: Solve for x
    x = 116,027,623,524.58/395,513.44
  6. Step 6: Final answer
    x = 293,359.50

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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.