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Finding the Fourth Proportional to 395,924.62, 593,875.40 and 96,400.88

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Solution

The fourth proportional to 395,924.62, 593,875.40 and 96,400.88 is: 144,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,924.62 : 593,875.40 = 96,400.88 : x
  2. Step 2: Convert to fraction form
    395,924.62/593,875.40 = 96,400.88/x
  3. Step 3: Cross multiply
    395,924.62x = 593,875.40 × 96,400.88
  4. Step 4: Simplify right side
    395,924.62x = 57,250,111,170.35
  5. Step 5: Solve for x
    x = 57,250,111,170.35/395,924.62
  6. Step 6: Final answer
    x = 144,598.51

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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.