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Finding the Fourth Proportional to 339,336, 468,326.88 and 205,200.96

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Solution

The fourth proportional to 339,336, 468,326.88 and 205,200.96 is: 283,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,336 : 468,326.88 = 205,200.96 : x
  2. Step 2: Convert to fraction form
    339,336/468,326.88 = 205,200.96/x
  3. Step 3: Cross multiply
    339,336x = 468,326.88 × 205,200.96
  4. Step 4: Simplify right side
    339,336x = 96,101,125,369.80
  5. Step 5: Solve for x
    x = 96,101,125,369.80/339,336
  6. Step 6: Final answer
    x = 283,203.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.