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Finding the Fourth Proportional to 345,517.58, 476,802.72 and 200,326.03

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Solution

The fourth proportional to 345,517.58, 476,802.72 and 200,326.03 is: 276,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,517.58 : 476,802.72 = 200,326.03 : x
  2. Step 2: Convert to fraction form
    345,517.58/476,802.72 = 200,326.03/x
  3. Step 3: Cross multiply
    345,517.58x = 476,802.72 × 200,326.03
  4. Step 4: Simplify right side
    345,517.58x = 95,515,994,798.79
  5. Step 5: Solve for x
    x = 95,515,994,798.79/345,517.58
  6. Step 6: Final answer
    x = 276,443.22

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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.