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Finding the Fourth Proportional to 402,867.84, 555,958.08 and 224,016

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Solution

The fourth proportional to 402,867.84, 555,958.08 and 224,016 is: 309,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,867.84 : 555,958.08 = 224,016 : x
  2. Step 2: Convert to fraction form
    402,867.84/555,958.08 = 224,016/x
  3. Step 3: Cross multiply
    402,867.84x = 555,958.08 × 224,016
  4. Step 4: Simplify right side
    402,867.84x = 124,543,505,249.28
  5. Step 5: Solve for x
    x = 124,543,505,249.28/402,867.84
  6. Step 6: Final answer
    x = 309,142.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.