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Finding the Fourth Proportional to 379,458.81, 523,632.56 and 209,682

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Solution

The fourth proportional to 379,458.81, 523,632.56 and 209,682 is: 289,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,458.81 : 523,632.56 = 209,682 : x
  2. Step 2: Convert to fraction form
    379,458.81/523,632.56 = 209,682/x
  3. Step 3: Cross multiply
    379,458.81x = 523,632.56 × 209,682
  4. Step 4: Simplify right side
    379,458.81x = 109,796,321,397.51
  5. Step 5: Solve for x
    x = 109,796,321,397.51/379,458.81
  6. Step 6: Final answer
    x = 289,349.78

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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.