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Finding the Fourth Proportional to 367,663.79, 507,297.33 and 214,632.54

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Solution

The fourth proportional to 367,663.79, 507,297.33 and 214,632.54 is: 296,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,663.79 : 507,297.33 = 214,632.54 : x
  2. Step 2: Convert to fraction form
    367,663.79/507,297.33 = 214,632.54/x
  3. Step 3: Cross multiply
    367,663.79x = 507,297.33 × 214,632.54
  4. Step 4: Simplify right side
    367,663.79x = 108,882,514,473.12
  5. Step 5: Solve for x
    x = 108,882,514,473.12/367,663.79
  6. Step 6: Final answer
    x = 296,146.96

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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.