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Finding the Fourth Proportional to 349,649.44, 482,443.92 and 204,427.24

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Solution

The fourth proportional to 349,649.44, 482,443.92 and 204,427.24 is: 282,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,649.44 : 482,443.92 = 204,427.24 : x
  2. Step 2: Convert to fraction form
    349,649.44/482,443.92 = 204,427.24/x
  3. Step 3: Cross multiply
    349,649.44x = 482,443.92 × 204,427.24
  4. Step 4: Simplify right side
    349,649.44x = 98,624,679,020.38
  5. Step 5: Solve for x
    x = 98,624,679,020.38/349,649.44
  6. Step 6: Final answer
    x = 282,067.32

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1.5x scale

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.