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Finding the Fourth Proportional to 367,537.41, 507,185.91 and 214,584.08

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Solution

The fourth proportional to 367,537.41, 507,185.91 and 214,584.08 is: 296,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,537.41 : 507,185.91 = 214,584.08 : x
  2. Step 2: Convert to fraction form
    367,537.41/507,185.91 = 214,584.08/x
  3. Step 3: Cross multiply
    367,537.41x = 507,185.91 × 214,584.08
  4. Step 4: Simplify right side
    367,537.41x = 108,834,019,350.38
  5. Step 5: Solve for x
    x = 108,834,019,350.38/367,537.41
  6. Step 6: Final answer
    x = 296,116.85

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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.