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Finding the Fourth Proportional to 468,675.36, 646,768.50 and 253,810.44

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Solution

The fourth proportional to 468,675.36, 646,768.50 and 253,810.44 is: 350,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,675.36 : 646,768.50 = 253,810.44 : x
  2. Step 2: Convert to fraction form
    468,675.36/646,768.50 = 253,810.44/x
  3. Step 3: Cross multiply
    468,675.36x = 646,768.50 × 253,810.44
  4. Step 4: Simplify right side
    468,675.36x = 164,156,597,563.14
  5. Step 5: Solve for x
    x = 164,156,597,563.14/468,675.36
  6. Step 6: Final answer
    x = 350,256.51

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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.