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Finding the Fourth Proportional to 378,301.16, 522,059.10 and 208,541.36

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Solution

The fourth proportional to 378,301.16, 522,059.10 and 208,541.36 is: 287,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,301.16 : 522,059.10 = 208,541.36 : x
  2. Step 2: Convert to fraction form
    378,301.16/522,059.10 = 208,541.36/x
  3. Step 3: Cross multiply
    378,301.16x = 522,059.10 × 208,541.36
  4. Step 4: Simplify right side
    378,301.16x = 108,870,914,714.38
  5. Step 5: Solve for x
    x = 108,870,914,714.38/378,301.16
  6. Step 6: Final answer
    x = 287,789.01

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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.