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Finding the Fourth Proportional to 395,749.29, 593,615.61 and 96,231.42

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Solution

The fourth proportional to 395,749.29, 593,615.61 and 96,231.42 is: 144,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,749.29 : 593,615.61 = 96,231.42 : x
  2. Step 2: Convert to fraction form
    395,749.29/593,615.61 = 96,231.42/x
  3. Step 3: Cross multiply
    395,749.29x = 593,615.61 × 96,231.42
  4. Step 4: Simplify right side
    395,749.29x = 57,124,473,084.47
  5. Step 5: Solve for x
    x = 57,124,473,084.47/395,749.29
  6. Step 6: Final answer
    x = 144,345.11

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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.