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Finding the Fourth Proportional to 468,688.28, 646,782.17 and 253,826.46

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Solution

The fourth proportional to 468,688.28, 646,782.17 and 253,826.46 is: 350,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,688.28 : 646,782.17 = 253,826.46 : x
  2. Step 2: Convert to fraction form
    468,688.28/646,782.17 = 253,826.46/x
  3. Step 3: Cross multiply
    468,688.28x = 646,782.17 × 253,826.46
  4. Step 4: Simplify right side
    468,688.28x = 164,170,427,333.09
  5. Step 5: Solve for x
    x = 164,170,427,333.09/468,688.28
  6. Step 6: Final answer
    x = 350,276.37

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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.