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Finding the Fourth Proportional to 378,386.72, 522,163.68 and 208,616.48

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Solution

The fourth proportional to 378,386.72, 522,163.68 and 208,616.48 is: 287,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,386.72 : 522,163.68 = 208,616.48 : x
  2. Step 2: Convert to fraction form
    378,386.72/522,163.68 = 208,616.48/x
  3. Step 3: Cross multiply
    378,386.72x = 522,163.68 × 208,616.48
  4. Step 4: Simplify right side
    378,386.72x = 108,931,948,905.45
  5. Step 5: Solve for x
    x = 108,931,948,905.45/378,386.72
  6. Step 6: Final answer
    x = 287,885.23

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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.