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Finding the Fourth Proportional to 395,322.66, 593,041.77 and 114,803.46

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Solution

The fourth proportional to 395,322.66, 593,041.77 and 114,803.46 is: 172,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,322.66 : 593,041.77 = 114,803.46 : x
  2. Step 2: Convert to fraction form
    395,322.66/593,041.77 = 114,803.46/x
  3. Step 3: Cross multiply
    395,322.66x = 593,041.77 × 114,803.46
  4. Step 4: Simplify right side
    395,322.66x = 68,083,247,120.52
  5. Step 5: Solve for x
    x = 68,083,247,120.52/395,322.66
  6. Step 6: Final answer
    x = 172,221.97

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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.