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Finding the Fourth Proportional to 468,278.22, 646,223.84 and 253,418.28

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Solution

The fourth proportional to 468,278.22, 646,223.84 and 253,418.28 is: 349,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,278.22 : 646,223.84 = 253,418.28 : x
  2. Step 2: Convert to fraction form
    468,278.22/646,223.84 = 253,418.28/x
  3. Step 3: Cross multiply
    468,278.22x = 646,223.84 × 253,418.28
  4. Step 4: Simplify right side
    468,278.22x = 163,764,934,027.80
  5. Step 5: Solve for x
    x = 163,764,934,027.80/468,278.22
  6. Step 6: Final answer
    x = 349,717.17

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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.