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Finding the Fourth Proportional to 367,806.90, 507,573.96 and 206,661.84

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Solution

The fourth proportional to 367,806.90, 507,573.96 and 206,661.84 is: 285,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,806.90 : 507,573.96 = 206,661.84 : x
  2. Step 2: Convert to fraction form
    367,806.90/507,573.96 = 206,661.84/x
  3. Step 3: Cross multiply
    367,806.90x = 507,573.96 × 206,661.84
  4. Step 4: Simplify right side
    367,806.90x = 104,896,168,509.69
  5. Step 5: Solve for x
    x = 104,896,168,509.69/367,806.90
  6. Step 6: Final answer
    x = 285,193.59

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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.