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Finding the Fourth Proportional to 378,346.16, 522,121.74 and 208,586.36

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Solution

The fourth proportional to 378,346.16, 522,121.74 and 208,586.36 is: 287,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,346.16 : 522,121.74 = 208,586.36 : x
  2. Step 2: Convert to fraction form
    378,346.16/522,121.74 = 208,586.36/x
  3. Step 3: Cross multiply
    378,346.16x = 522,121.74 × 208,586.36
  4. Step 4: Simplify right side
    378,346.16x = 108,907,473,223.47
  5. Step 5: Solve for x
    x = 108,907,473,223.47/378,346.16
  6. Step 6: Final answer
    x = 287,851.40

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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.