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Finding the Fourth Proportional to 395,410.32, 593,109.78 and 95,893.38

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Solution

The fourth proportional to 395,410.32, 593,109.78 and 95,893.38 is: 143,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,410.32 : 593,109.78 = 95,893.38 : x
  2. Step 2: Convert to fraction form
    395,410.32/593,109.78 = 95,893.38/x
  3. Step 3: Cross multiply
    395,410.32x = 593,109.78 × 95,893.38
  4. Step 4: Simplify right side
    395,410.32x = 56,875,301,515.26
  5. Step 5: Solve for x
    x = 56,875,301,515.26/395,410.32
  6. Step 6: Final answer
    x = 143,838.69

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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.