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Finding the Fourth Proportional to 378,423.29, 522,222.23 and 208,657.41

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Solution

The fourth proportional to 378,423.29, 522,222.23 and 208,657.41 is: 287,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.29 : 522,222.23 = 208,657.41 : x
  2. Step 2: Convert to fraction form
    378,423.29/522,222.23 = 208,657.41/x
  3. Step 3: Cross multiply
    378,423.29x = 522,222.23 × 208,657.41
  4. Step 4: Simplify right side
    378,423.29x = 108,965,538,477.87
  5. Step 5: Solve for x
    x = 108,965,538,477.87/378,423.29
  6. Step 6: Final answer
    x = 287,946.18

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