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Finding the Fourth Proportional to 652,243.44, 900,105.17 and 394,084.50

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Solution

The fourth proportional to 652,243.44, 900,105.17 and 394,084.50 is: 543,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,243.44 : 900,105.17 = 394,084.50 : x
  2. Step 2: Convert to fraction form
    652,243.44/900,105.17 = 394,084.50/x
  3. Step 3: Cross multiply
    652,243.44x = 900,105.17 × 394,084.50
  4. Step 4: Simplify right side
    652,243.44x = 354,717,495,866.87
  5. Step 5: Solve for x
    x = 354,717,495,866.87/652,243.44
  6. Step 6: Final answer
    x = 543,842.18

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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.