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Finding the Fourth Proportional to 468,857.84, 647,021.16 and 254,002.08

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Solution

The fourth proportional to 468,857.84, 647,021.16 and 254,002.08 is: 350,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,857.84 : 647,021.16 = 254,002.08 : x
  2. Step 2: Convert to fraction form
    468,857.84/647,021.16 = 254,002.08/x
  3. Step 3: Cross multiply
    468,857.84x = 647,021.16 × 254,002.08
  4. Step 4: Simplify right side
    468,857.84x = 164,344,720,444.01
  5. Step 5: Solve for x
    x = 164,344,720,444.01/468,857.84
  6. Step 6: Final answer
    x = 350,521.43

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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.