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Finding the Fourth Proportional to 264,898.49, 365,695.36 and 204,333.17

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Solution

The fourth proportional to 264,898.49, 365,695.36 and 204,333.17 is: 282,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,898.49 : 365,695.36 = 204,333.17 : x
  2. Step 2: Convert to fraction form
    264,898.49/365,695.36 = 204,333.17/x
  3. Step 3: Cross multiply
    264,898.49x = 365,695.36 × 204,333.17
  4. Step 4: Simplify right side
    264,898.49x = 74,723,689,823.78
  5. Step 5: Solve for x
    x = 74,723,689,823.78/264,898.49
  6. Step 6: Final answer
    x = 282,084.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.