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Finding the Fourth Proportional to 367,663.72, 507,297.23 and 214,632.46

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Solution

The fourth proportional to 367,663.72, 507,297.23 and 214,632.46 is: 296,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,663.72 : 507,297.23 = 214,632.46 : x
  2. Step 2: Convert to fraction form
    367,663.72/507,297.23 = 214,632.46/x
  3. Step 3: Cross multiply
    367,663.72x = 507,297.23 × 214,632.46
  4. Step 4: Simplify right side
    367,663.72x = 108,882,452,426.09
  5. Step 5: Solve for x
    x = 108,882,452,426.09/367,663.72
  6. Step 6: Final answer
    x = 296,146.85

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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.