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Finding the Fourth Proportional to 367,663.54, 507,297 and 214,632.28

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Solution

The fourth proportional to 367,663.54, 507,297 and 214,632.28 is: 296,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,663.54 : 507,297 = 214,632.28 : x
  2. Step 2: Convert to fraction form
    367,663.54/507,297 = 214,632.28/x
  3. Step 3: Cross multiply
    367,663.54x = 507,297 × 214,632.28
  4. Step 4: Simplify right side
    367,663.54x = 108,882,311,747.16
  5. Step 5: Solve for x
    x = 108,882,311,747.16/367,663.54
  6. Step 6: Final answer
    x = 296,146.61

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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.