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Finding the Fourth Proportional to 395,876.96, 593,806.80 and 96,359.12

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Solution

The fourth proportional to 395,876.96, 593,806.80 and 96,359.12 is: 144,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,876.96 : 593,806.80 = 96,359.12 : x
  2. Step 2: Convert to fraction form
    395,876.96/593,806.80 = 96,359.12/x
  3. Step 3: Cross multiply
    395,876.96x = 593,806.80 × 96,359.12
  4. Step 4: Simplify right side
    395,876.96x = 57,218,700,698.02
  5. Step 5: Solve for x
    x = 57,218,700,698.02/395,876.96
  6. Step 6: Final answer
    x = 144,536.58

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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.