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Finding the Fourth Proportional to 703,219.67, 970,447.83 and 380,929.78

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Solution

The fourth proportional to 703,219.67, 970,447.83 and 380,929.78 is: 525,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,219.67 : 970,447.83 = 380,929.78 : x
  2. Step 2: Convert to fraction form
    703,219.67/970,447.83 = 380,929.78/x
  3. Step 3: Cross multiply
    703,219.67x = 970,447.83 × 380,929.78
  4. Step 4: Simplify right side
    703,219.67x = 369,672,478,383.38
  5. Step 5: Solve for x
    x = 369,672,478,383.38/703,219.67
  6. Step 6: Final answer
    x = 525,685.63

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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.