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Finding the Fourth Proportional to 683,220.25, 942,844.01 and 381,414.25

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Solution

The fourth proportional to 683,220.25, 942,844.01 and 381,414.25 is: 526,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,220.25 : 942,844.01 = 381,414.25 : x
  2. Step 2: Convert to fraction form
    683,220.25/942,844.01 = 381,414.25/x
  3. Step 3: Cross multiply
    683,220.25x = 942,844.01 × 381,414.25
  4. Step 4: Simplify right side
    683,220.25x = 359,614,140,941.14
  5. Step 5: Solve for x
    x = 359,614,140,941.14/683,220.25
  6. Step 6: Final answer
    x = 526,351.70

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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.