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Finding the Fourth Proportional to 367,761.05, 507,482.58 and 206,584.62

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Solution

The fourth proportional to 367,761.05, 507,482.58 and 206,584.62 is: 285,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,761.05 : 507,482.58 = 206,584.62 : x
  2. Step 2: Convert to fraction form
    367,761.05/507,482.58 = 206,584.62/x
  3. Step 3: Cross multiply
    367,761.05x = 507,482.58 × 206,584.62
  4. Step 4: Simplify right side
    367,761.05x = 104,838,095,945.92
  5. Step 5: Solve for x
    x = 104,838,095,945.92/367,761.05
  6. Step 6: Final answer
    x = 285,071.23

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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.