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Finding the Fourth Proportional to 378,176.58, 521,908.11 and 208,410.30

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Solution

The fourth proportional to 378,176.58, 521,908.11 and 208,410.30 is: 287,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,176.58 : 521,908.11 = 208,410.30 : x
  2. Step 2: Convert to fraction form
    378,176.58/521,908.11 = 208,410.30/x
  3. Step 3: Cross multiply
    378,176.58x = 521,908.11 × 208,410.30
  4. Step 4: Simplify right side
    378,176.58x = 108,771,025,777.53
  5. Step 5: Solve for x
    x = 108,771,025,777.53/378,176.58
  6. Step 6: Final answer
    x = 287,619.68

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1.5x scale

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.