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Finding the Fourth Proportional to 394,088.25, 543,842.42 and 224,322.39

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Solution

The fourth proportional to 394,088.25, 543,842.42 and 224,322.39 is: 309,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,088.25 : 543,842.42 = 224,322.39 : x
  2. Step 2: Convert to fraction form
    394,088.25/543,842.42 = 224,322.39/x
  3. Step 3: Cross multiply
    394,088.25x = 543,842.42 × 224,322.39
  4. Step 4: Simplify right side
    394,088.25x = 121,996,030,316.17
  5. Step 5: Solve for x
    x = 121,996,030,316.17/394,088.25
  6. Step 6: Final answer
    x = 309,565.26

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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.