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Finding the Fourth Proportional to 364,067.30, 546,013.47 and 186,482.90

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Solution

The fourth proportional to 364,067.30, 546,013.47 and 186,482.90 is: 279,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,067.30 : 546,013.47 = 186,482.90 : x
  2. Step 2: Convert to fraction form
    364,067.30/546,013.47 = 186,482.90/x
  3. Step 3: Cross multiply
    364,067.30x = 546,013.47 × 186,482.90
  4. Step 4: Simplify right side
    364,067.30x = 101,822,175,324.66
  5. Step 5: Solve for x
    x = 101,822,175,324.66/364,067.30
  6. Step 6: Final answer
    x = 279,679.54

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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.