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Finding the Fourth Proportional to 468,517.34, 646,554.28 and 253,657.56

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Solution

The fourth proportional to 468,517.34, 646,554.28 and 253,657.56 is: 350,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,517.34 : 646,554.28 = 253,657.56 : x
  2. Step 2: Convert to fraction form
    468,517.34/646,554.28 = 253,657.56/x
  3. Step 3: Cross multiply
    468,517.34x = 646,554.28 × 253,657.56
  4. Step 4: Simplify right side
    468,517.34x = 164,003,381,072.36
  5. Step 5: Solve for x
    x = 164,003,381,072.36/468,517.34
  6. Step 6: Final answer
    x = 350,047.62

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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.