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Finding the Fourth Proportional to 333,094.97, 499,462.54 and 172,773.47

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Solution

The fourth proportional to 333,094.97, 499,462.54 and 172,773.47 is: 259,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,094.97 : 499,462.54 = 172,773.47 : x
  2. Step 2: Convert to fraction form
    333,094.97/499,462.54 = 172,773.47/x
  3. Step 3: Cross multiply
    333,094.97x = 499,462.54 × 172,773.47
  4. Step 4: Simplify right side
    333,094.97x = 86,293,876,170.81
  5. Step 5: Solve for x
    x = 86,293,876,170.81/333,094.97
  6. Step 6: Final answer
    x = 259,066.88

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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.