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Finding the Fourth Proportional to 415,649.52, 622,484.59 and 265,424.49

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Solution

The fourth proportional to 415,649.52, 622,484.59 and 265,424.49 is: 397,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,649.52 : 622,484.59 = 265,424.49 : x
  2. Step 2: Convert to fraction form
    415,649.52/622,484.59 = 265,424.49/x
  3. Step 3: Cross multiply
    415,649.52x = 622,484.59 × 265,424.49
  4. Step 4: Simplify right side
    415,649.52x = 165,222,653,921.21
  5. Step 5: Solve for x
    x = 165,222,653,921.21/415,649.52
  6. Step 6: Final answer
    x = 397,504.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.