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Finding the Fourth Proportional to 378,324.34, 522,089.18 and 208,554.74

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Solution

The fourth proportional to 378,324.34, 522,089.18 and 208,554.74 is: 287,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,324.34 : 522,089.18 = 208,554.74 : x
  2. Step 2: Convert to fraction form
    378,324.34/522,089.18 = 208,554.74/x
  3. Step 3: Cross multiply
    378,324.34x = 522,089.18 × 208,554.74
  4. Step 4: Simplify right side
    378,324.34x = 108,884,173,191.71
  5. Step 5: Solve for x
    x = 108,884,173,191.71/378,324.34
  6. Step 6: Final answer
    x = 287,806.42

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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.