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Finding the Fourth Proportional to 370,059.82, 510,628.20 and 206,696.19

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Solution

The fourth proportional to 370,059.82, 510,628.20 and 206,696.19 is: 285,210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,059.82 : 510,628.20 = 206,696.19 : x
  2. Step 2: Convert to fraction form
    370,059.82/510,628.20 = 206,696.19/x
  3. Step 3: Cross multiply
    370,059.82x = 510,628.20 × 206,696.19
  4. Step 4: Simplify right side
    370,059.82x = 105,544,904,586.30
  5. Step 5: Solve for x
    x = 105,544,904,586.30/370,059.82
  6. Step 6: Final answer
    x = 285,210.39

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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.