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Finding the Fourth Proportional to 468,533.97, 646,576.02 and 253,674

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Solution

The fourth proportional to 468,533.97, 646,576.02 and 253,674 is: 350,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,533.97 : 646,576.02 = 253,674 : x
  2. Step 2: Convert to fraction form
    468,533.97/646,576.02 = 253,674/x
  3. Step 3: Cross multiply
    468,533.97x = 646,576.02 × 253,674
  4. Step 4: Simplify right side
    468,533.97x = 164,019,525,297.48
  5. Step 5: Solve for x
    x = 164,019,525,297.48/468,533.97
  6. Step 6: Final answer
    x = 350,069.66

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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.