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Finding the Fourth Proportional to 367,265, 506,819.04 and 206,107.40

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Solution

The fourth proportional to 367,265, 506,819.04 and 206,107.40 is: 284,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,265 : 506,819.04 = 206,107.40 : x
  2. Step 2: Convert to fraction form
    367,265/506,819.04 = 206,107.40/x
  3. Step 3: Cross multiply
    367,265x = 506,819.04 × 206,107.40
  4. Step 4: Simplify right side
    367,265x = 104,459,154,604.90
  5. Step 5: Solve for x
    x = 104,459,154,604.90/367,265
  6. Step 6: Final answer
    x = 284,424.47

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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.