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Finding the Fourth Proportional to 393,835.54, 543,486.09 and 224,066.02

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Solution

The fourth proportional to 393,835.54, 543,486.09 and 224,066.02 is: 309,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,835.54 : 543,486.09 = 224,066.02 : x
  2. Step 2: Convert to fraction form
    393,835.54/543,486.09 = 224,066.02/x
  3. Step 3: Cross multiply
    393,835.54x = 543,486.09 × 224,066.02
  4. Step 4: Simplify right side
    393,835.54x = 121,776,765,111.66
  5. Step 5: Solve for x
    x = 121,776,765,111.66/393,835.54
  6. Step 6: Final answer
    x = 309,207.15

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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.