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Finding the Fourth Proportional to 702,704.32, 969,732.28 and 380,414.41

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Solution

The fourth proportional to 702,704.32, 969,732.28 and 380,414.41 is: 524,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,704.32 : 969,732.28 = 380,414.41 : x
  2. Step 2: Convert to fraction form
    702,704.32/969,732.28 = 380,414.41/x
  3. Step 3: Cross multiply
    702,704.32x = 969,732.28 × 380,414.41
  4. Step 4: Simplify right side
    702,704.32x = 368,900,133,154.16
  5. Step 5: Solve for x
    x = 368,900,133,154.16/702,704.32
  6. Step 6: Final answer
    x = 524,972.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.