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Finding the Fourth Proportional to 228,427.29, 341,895.74 and 206,602.65

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Solution

The fourth proportional to 228,427.29, 341,895.74 and 206,602.65 is: 309,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,427.29 : 341,895.74 = 206,602.65 : x
  2. Step 2: Convert to fraction form
    228,427.29/341,895.74 = 206,602.65/x
  3. Step 3: Cross multiply
    228,427.29x = 341,895.74 × 206,602.65
  4. Step 4: Simplify right side
    228,427.29x = 70,636,564,874.70
  5. Step 5: Solve for x
    x = 70,636,564,874.70/228,427.29
  6. Step 6: Final answer
    x = 309,229.97

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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.