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Finding the Fourth Proportional to 386,573.72, 580,008.20 and 218,284.07

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Solution

The fourth proportional to 386,573.72, 580,008.20 and 218,284.07 is: 327,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,573.72 : 580,008.20 = 218,284.07 : x
  2. Step 2: Convert to fraction form
    386,573.72/580,008.20 = 218,284.07/x
  3. Step 3: Cross multiply
    386,573.72x = 580,008.20 × 218,284.07
  4. Step 4: Simplify right side
    386,573.72x = 126,606,546,537.91
  5. Step 5: Solve for x
    x = 126,606,546,537.91/386,573.72
  6. Step 6: Final answer
    x = 327,509.45

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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.