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Finding the Fourth Proportional to 468,921.12, 647,106 and 254,048.36

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Solution

The fourth proportional to 468,921.12, 647,106 and 254,048.36 is: 350,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,921.12 : 647,106 = 254,048.36 : x
  2. Step 2: Convert to fraction form
    468,921.12/647,106 = 254,048.36/x
  3. Step 3: Cross multiply
    468,921.12x = 647,106 × 254,048.36
  4. Step 4: Simplify right side
    468,921.12x = 164,396,218,046.16
  5. Step 5: Solve for x
    x = 164,396,218,046.16/468,921.12
  6. Step 6: Final answer
    x = 350,583.95

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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.