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Finding the Fourth Proportional to 224,473.36, 335,878.38 and 179,965.48

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Solution

The fourth proportional to 224,473.36, 335,878.38 and 179,965.48 is: 269,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,473.36 : 335,878.38 = 179,965.48 : x
  2. Step 2: Convert to fraction form
    224,473.36/335,878.38 = 179,965.48/x
  3. Step 3: Cross multiply
    224,473.36x = 335,878.38 × 179,965.48
  4. Step 4: Simplify right side
    224,473.36x = 60,446,513,878.32
  5. Step 5: Solve for x
    x = 60,446,513,878.32/224,473.36
  6. Step 6: Final answer
    x = 269,281.46

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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.