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Finding the Fourth Proportional to 378,183.51, 521,893.24 and 208,417.64

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Solution

The fourth proportional to 378,183.51, 521,893.24 and 208,417.64 is: 287,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,183.51 : 521,893.24 = 208,417.64 : x
  2. Step 2: Convert to fraction form
    378,183.51/521,893.24 = 208,417.64/x
  3. Step 3: Cross multiply
    378,183.51x = 521,893.24 × 208,417.64
  4. Step 4: Simplify right side
    378,183.51x = 108,771,754,282.24
  5. Step 5: Solve for x
    x = 108,771,754,282.24/378,183.51
  6. Step 6: Final answer
    x = 287,616.33

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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.