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Finding the Fourth Proportional to 412,078.43, 619,067.93 and 395,053.32

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Solution

The fourth proportional to 412,078.43, 619,067.93 and 395,053.32 is: 593,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,078.43 : 619,067.93 = 395,053.32 : x
  2. Step 2: Convert to fraction form
    412,078.43/619,067.93 = 395,053.32/x
  3. Step 3: Cross multiply
    412,078.43x = 619,067.93 × 395,053.32
  4. Step 4: Simplify right side
    412,078.43x = 244,564,841,398.27
  5. Step 5: Solve for x
    x = 244,564,841,398.27/412,078.43
  6. Step 6: Final answer
    x = 593,491.00

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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.