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Finding the Fourth Proportional to 395,475.64, 593,314.68 and 114,992.96

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Solution

The fourth proportional to 395,475.64, 593,314.68 and 114,992.96 is: 172,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,475.64 : 593,314.68 = 114,992.96 : x
  2. Step 2: Convert to fraction form
    395,475.64/593,314.68 = 114,992.96/x
  3. Step 3: Cross multiply
    395,475.64x = 593,314.68 × 114,992.96
  4. Step 4: Simplify right side
    395,475.64x = 68,227,011,264.65
  5. Step 5: Solve for x
    x = 68,227,011,264.65/395,475.64
  6. Step 6: Final answer
    x = 172,518.87

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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.