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Finding the Fourth Proportional to 465,525.54, 642,222.81 and 293,338.98

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Solution

The fourth proportional to 465,525.54, 642,222.81 and 293,338.98 is: 404,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,525.54 : 642,222.81 = 293,338.98 : x
  2. Step 2: Convert to fraction form
    465,525.54/642,222.81 = 293,338.98/x
  3. Step 3: Cross multiply
    465,525.54x = 642,222.81 × 293,338.98
  4. Step 4: Simplify right side
    465,525.54x = 188,388,984,018.13
  5. Step 5: Solve for x
    x = 188,388,984,018.13/465,525.54
  6. Step 6: Final answer
    x = 404,680.23

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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.