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Finding the Fourth Proportional to 378,176.16, 521,880.48 and 208,410.48

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Solution

The fourth proportional to 378,176.16, 521,880.48 and 208,410.48 is: 287,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,176.16 : 521,880.48 = 208,410.48 : x
  2. Step 2: Convert to fraction form
    378,176.16/521,880.48 = 208,410.48/x
  3. Step 3: Cross multiply
    378,176.16x = 521,880.48 × 208,410.48
  4. Step 4: Simplify right side
    378,176.16x = 108,765,361,339.43
  5. Step 5: Solve for x
    x = 108,765,361,339.43/378,176.16
  6. Step 6: Final answer
    x = 287,605.02

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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.