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Finding the Fourth Proportional to 340,025.70, 510,038.55 and 204,723.30

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Solution

The fourth proportional to 340,025.70, 510,038.55 and 204,723.30 is: 307,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,025.70 : 510,038.55 = 204,723.30 : x
  2. Step 2: Convert to fraction form
    340,025.70/510,038.55 = 204,723.30/x
  3. Step 3: Cross multiply
    340,025.70x = 510,038.55 × 204,723.30
  4. Step 4: Simplify right side
    340,025.70x = 104,416,775,083.22
  5. Step 5: Solve for x
    x = 104,416,775,083.22/340,025.70
  6. Step 6: Final answer
    x = 307,084.95

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Why These Related Problems?

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