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Finding the Fourth Proportional to 468,874.50, 647,047.08 and 254,016.06

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Solution

The fourth proportional to 468,874.50, 647,047.08 and 254,016.06 is: 350,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,874.50 : 647,047.08 = 254,016.06 : x
  2. Step 2: Convert to fraction form
    468,874.50/647,047.08 = 254,016.06/x
  3. Step 3: Cross multiply
    468,874.50x = 647,047.08 × 254,016.06
  4. Step 4: Simplify right side
    468,874.50x = 164,360,349,896.11
  5. Step 5: Solve for x
    x = 164,360,349,896.11/468,874.50
  6. Step 6: Final answer
    x = 350,542.31

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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.