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Finding the Fourth Proportional to 367,663.97, 507,388.59 and 204,327.36

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Solution

The fourth proportional to 367,663.97, 507,388.59 and 204,327.36 is: 281,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,663.97 : 507,388.59 = 204,327.36 : x
  2. Step 2: Convert to fraction form
    367,663.97/507,388.59 = 204,327.36/x
  3. Step 3: Cross multiply
    367,663.97x = 507,388.59 × 204,327.36
  4. Step 4: Simplify right side
    367,663.97x = 103,673,371,088.82
  5. Step 5: Solve for x
    x = 103,673,371,088.82/367,663.97
  6. Step 6: Final answer
    x = 281,978.60

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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.