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Finding the Fourth Proportional to 465,460.80, 642,133.44 and 293,274.24

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Solution

The fourth proportional to 465,460.80, 642,133.44 and 293,274.24 is: 404,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,460.80 : 642,133.44 = 293,274.24 : x
  2. Step 2: Convert to fraction form
    465,460.80/642,133.44 = 293,274.24/x
  3. Step 3: Cross multiply
    465,460.80x = 642,133.44 × 293,274.24
  4. Step 4: Simplify right side
    465,460.80x = 188,321,196,594.59
  5. Step 5: Solve for x
    x = 188,321,196,594.59/465,460.80
  6. Step 6: Final answer
    x = 404,590.88

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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.