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Finding the Fourth Proportional to 369,584.71, 510,027.64 and 199,818.83

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Solution

The fourth proportional to 369,584.71, 510,027.64 and 199,818.83 is: 275,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,584.71 : 510,027.64 = 199,818.83 : x
  2. Step 2: Convert to fraction form
    369,584.71/510,027.64 = 199,818.83/x
  3. Step 3: Cross multiply
    369,584.71x = 510,027.64 × 199,818.83
  4. Step 4: Simplify right side
    369,584.71x = 101,913,127,067.98
  5. Step 5: Solve for x
    x = 101,913,127,067.98/369,584.71
  6. Step 6: Final answer
    x = 275,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.