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Finding the Fourth Proportional to 378,397.71, 522,192.91 and 206,314.26

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Solution

The fourth proportional to 378,397.71, 522,192.91 and 206,314.26 is: 284,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,397.71 : 522,192.91 = 206,314.26 : x
  2. Step 2: Convert to fraction form
    378,397.71/522,192.91 = 206,314.26/x
  3. Step 3: Cross multiply
    378,397.71x = 522,192.91 × 206,314.26
  4. Step 4: Simplify right side
    378,397.71x = 107,735,841,192.93
  5. Step 5: Solve for x
    x = 107,735,841,192.93/378,397.71
  6. Step 6: Final answer
    x = 284,715.89

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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.