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Finding the Fourth Proportional to 702,343.25, 969,236.25 and 380,053.36

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Solution

The fourth proportional to 702,343.25, 969,236.25 and 380,053.36 is: 524,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,343.25 : 969,236.25 = 380,053.36 : x
  2. Step 2: Convert to fraction form
    702,343.25/969,236.25 = 380,053.36/x
  3. Step 3: Cross multiply
    702,343.25x = 969,236.25 × 380,053.36
  4. Step 4: Simplify right side
    702,343.25x = 368,361,491,023.21
  5. Step 5: Solve for x
    x = 368,361,491,023.21/702,343.25
  6. Step 6: Final answer
    x = 524,475.03

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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.