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Finding the Fourth Proportional to 364,398.58, 546,084.07 and 172,067.81

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Solution

The fourth proportional to 364,398.58, 546,084.07 and 172,067.81 is: 257,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398.58 : 546,084.07 = 172,067.81 : x
  2. Step 2: Convert to fraction form
    364,398.58/546,084.07 = 172,067.81/x
  3. Step 3: Cross multiply
    364,398.58x = 546,084.07 × 172,067.81
  4. Step 4: Simplify right side
    364,398.58x = 93,963,486,840.20
  5. Step 5: Solve for x
    x = 93,963,486,840.20/364,398.58
  6. Step 6: Final answer
    x = 257,859.09

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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.