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Finding the Fourth Proportional to 476,143.72, 713,911.74 and 206,126.44

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Solution

The fourth proportional to 476,143.72, 713,911.74 and 206,126.44 is: 309,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,143.72 : 713,911.74 = 206,126.44 : x
  2. Step 2: Convert to fraction form
    476,143.72/713,911.74 = 206,126.44/x
  3. Step 3: Cross multiply
    476,143.72x = 713,911.74 × 206,126.44
  4. Step 4: Simplify right side
    476,143.72x = 147,156,085,440.41
  5. Step 5: Solve for x
    x = 147,156,085,440.41/476,143.72
  6. Step 6: Final answer
    x = 309,058.13

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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.