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Finding the Fourth Proportional to 370,098, 510,735.24 and 200,333.34

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Solution

The fourth proportional to 370,098, 510,735.24 and 200,333.34 is: 276,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098 : 510,735.24 = 200,333.34 : x
  2. Step 2: Convert to fraction form
    370,098/510,735.24 = 200,333.34/x
  3. Step 3: Cross multiply
    370,098x = 510,735.24 × 200,333.34
  4. Step 4: Simplify right side
    370,098x = 102,317,296,484.90
  5. Step 5: Solve for x
    x = 102,317,296,484.90/370,098
  6. Step 6: Final answer
    x = 276,460.01

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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.