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Finding the Fourth Proportional to 478,046.22, 659,698.47 and 263,181.84

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Solution

The fourth proportional to 478,046.22, 659,698.47 and 263,181.84 is: 363,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,046.22 : 659,698.47 = 263,181.84 : x
  2. Step 2: Convert to fraction form
    478,046.22/659,698.47 = 263,181.84/x
  3. Step 3: Cross multiply
    478,046.22x = 659,698.47 × 263,181.84
  4. Step 4: Simplify right side
    478,046.22x = 173,620,657,179.79
  5. Step 5: Solve for x
    x = 173,620,657,179.79/478,046.22
  6. Step 6: Final answer
    x = 363,188.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.