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Finding the Fourth Proportional to 330,793.16, 496,193.58 and 314,659.25

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Solution

The fourth proportional to 330,793.16, 496,193.58 and 314,659.25 is: 471,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,793.16 : 496,193.58 = 314,659.25 : x
  2. Step 2: Convert to fraction form
    330,793.16/496,193.58 = 314,659.25/x
  3. Step 3: Cross multiply
    330,793.16x = 496,193.58 × 314,659.25
  4. Step 4: Simplify right side
    330,793.16x = 156,131,898,164.32
  5. Step 5: Solve for x
    x = 156,131,898,164.32/330,793.16
  6. Step 6: Final answer
    x = 471,992.52

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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.