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Finding the Fourth Proportional to 393,796.69, 543,442.16 and 224,030.81

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Solution

The fourth proportional to 393,796.69, 543,442.16 and 224,030.81 is: 309,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,796.69 : 543,442.16 = 224,030.81 : x
  2. Step 2: Convert to fraction form
    393,796.69/543,442.16 = 224,030.81/x
  3. Step 3: Cross multiply
    393,796.69x = 543,442.16 × 224,030.81
  4. Step 4: Simplify right side
    393,796.69x = 121,747,789,211.63
  5. Step 5: Solve for x
    x = 121,747,789,211.63/393,796.69
  6. Step 6: Final answer
    x = 309,164.08

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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.