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Finding the Fourth Proportional to 469,018.94, 647,243.61 and 254,153.48

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Solution

The fourth proportional to 469,018.94, 647,243.61 and 254,153.48 is: 350,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,018.94 : 647,243.61 = 254,153.48 : x
  2. Step 2: Convert to fraction form
    469,018.94/647,243.61 = 254,153.48/x
  3. Step 3: Cross multiply
    469,018.94x = 647,243.61 × 254,153.48
  4. Step 4: Simplify right side
    469,018.94x = 164,499,215,889.26
  5. Step 5: Solve for x
    x = 164,499,215,889.26/469,018.94
  6. Step 6: Final answer
    x = 350,730.43

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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.