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Finding the Fourth Proportional to 703,063.26, 970,222.48 and 380,766

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Solution

The fourth proportional to 703,063.26, 970,222.48 and 380,766 is: 525,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,063.26 : 970,222.48 = 380,766 : x
  2. Step 2: Convert to fraction form
    703,063.26/970,222.48 = 380,766/x
  3. Step 3: Cross multiply
    703,063.26x = 970,222.48 × 380,766
  4. Step 4: Simplify right side
    703,063.26x = 369,427,732,819.68
  5. Step 5: Solve for x
    x = 369,427,732,819.68/703,063.26
  6. Step 6: Final answer
    x = 525,454.47

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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.