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Finding the Fourth Proportional to 274,423.30, 410,828.55 and 204,612.10

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Solution

The fourth proportional to 274,423.30, 410,828.55 and 204,612.10 is: 306,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,423.30 : 410,828.55 = 204,612.10 : x
  2. Step 2: Convert to fraction form
    274,423.30/410,828.55 = 204,612.10/x
  3. Step 3: Cross multiply
    274,423.30x = 410,828.55 × 204,612.10
  4. Step 4: Simplify right side
    274,423.30x = 84,060,492,355.46
  5. Step 5: Solve for x
    x = 84,060,492,355.46/274,423.30
  6. Step 6: Final answer
    x = 306,316.89

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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.