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Finding the Fourth Proportional to 395,803.79, 593,345.84 and 206,041.22

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Solution

The fourth proportional to 395,803.79, 593,345.84 and 206,041.22 is: 308,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,803.79 : 593,345.84 = 206,041.22 : x
  2. Step 2: Convert to fraction form
    395,803.79/593,345.84 = 206,041.22/x
  3. Step 3: Cross multiply
    395,803.79x = 593,345.84 × 206,041.22
  4. Step 4: Simplify right side
    395,803.79x = 122,253,697,788.80
  5. Step 5: Solve for x
    x = 122,253,697,788.80/395,803.79
  6. Step 6: Final answer
    x = 308,874.50

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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.