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Finding the Fourth Proportional to 468,765.97, 646,897.22 and 253,905.37

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Solution

The fourth proportional to 468,765.97, 646,897.22 and 253,905.37 is: 350,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,765.97 : 646,897.22 = 253,905.37 : x
  2. Step 2: Convert to fraction form
    468,765.97/646,897.22 = 253,905.37/x
  3. Step 3: Cross multiply
    468,765.97x = 646,897.22 × 253,905.37
  4. Step 4: Simplify right side
    468,765.97x = 164,250,676,378.83
  5. Step 5: Solve for x
    x = 164,250,676,378.83/468,765.97
  6. Step 6: Final answer
    x = 350,389.51

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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.