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Finding the Fourth Proportional to 378,343.41, 522,117.54 and 208,583.61

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Solution

The fourth proportional to 378,343.41, 522,117.54 and 208,583.61 is: 287,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.41 : 522,117.54 = 208,583.61 : x
  2. Step 2: Convert to fraction form
    378,343.41/522,117.54 = 208,583.61/x
  3. Step 3: Cross multiply
    378,343.41x = 522,117.54 × 208,583.61
  4. Step 4: Simplify right side
    378,343.41x = 108,905,161,337.52
  5. Step 5: Solve for x
    x = 108,905,161,337.52/378,343.41
  6. Step 6: Final answer
    x = 287,847.39

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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.