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Finding the Fourth Proportional to 395,697.71, 593,541.38 and 96,177.42

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Solution

The fourth proportional to 395,697.71, 593,541.38 and 96,177.42 is: 144,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,697.71 : 593,541.38 = 96,177.42 : x
  2. Step 2: Convert to fraction form
    395,697.71/593,541.38 = 96,177.42/x
  3. Step 3: Cross multiply
    395,697.71x = 593,541.38 × 96,177.42
  4. Step 4: Simplify right side
    395,697.71x = 57,085,278,832.08
  5. Step 5: Solve for x
    x = 57,085,278,832.08/395,697.71
  6. Step 6: Final answer
    x = 144,264.87

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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.