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Finding the Fourth Proportional to 340,014.70, 510,022.05 and 204,712.30

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Solution

The fourth proportional to 340,014.70, 510,022.05 and 204,712.30 is: 307,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014.70 : 510,022.05 = 204,712.30 : x
  2. Step 2: Convert to fraction form
    340,014.70/510,022.05 = 204,712.30/x
  3. Step 3: Cross multiply
    340,014.70x = 510,022.05 × 204,712.30
  4. Step 4: Simplify right side
    340,014.70x = 104,407,786,906.22
  5. Step 5: Solve for x
    x = 104,407,786,906.22/340,014.70
  6. Step 6: Final answer
    x = 307,068.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.