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Finding the Fourth Proportional to 702,469, 969,180.96 and 430,253.11

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Solution

The fourth proportional to 702,469, 969,180.96 and 430,253.11 is: 593,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,469 : 969,180.96 = 430,253.11 : x
  2. Step 2: Convert to fraction form
    702,469/969,180.96 = 430,253.11/x
  3. Step 3: Cross multiply
    702,469x = 969,180.96 × 430,253.11
  4. Step 4: Simplify right side
    702,469x = 416,993,122,192.79
  5. Step 5: Solve for x
    x = 416,993,122,192.79/702,469
  6. Step 6: Final answer
    x = 593,610.71

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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.