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Finding the Fourth Proportional to 352,107.34, 485,970.24 and 208,946.32

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Solution

The fourth proportional to 352,107.34, 485,970.24 and 208,946.32 is: 288,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,107.34 : 485,970.24 = 208,946.32 : x
  2. Step 2: Convert to fraction form
    352,107.34/485,970.24 = 208,946.32/x
  3. Step 3: Cross multiply
    352,107.34x = 485,970.24 × 208,946.32
  4. Step 4: Simplify right side
    352,107.34x = 101,541,693,277.52
  5. Step 5: Solve for x
    x = 101,541,693,277.52/352,107.34
  6. Step 6: Final answer
    x = 288,382.78

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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.