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Finding the Fourth Proportional to 380,738.66, 525,407.88 and 208,654.52

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Solution

The fourth proportional to 380,738.66, 525,407.88 and 208,654.52 is: 287,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,738.66 : 525,407.88 = 208,654.52 : x
  2. Step 2: Convert to fraction form
    380,738.66/525,407.88 = 208,654.52/x
  3. Step 3: Cross multiply
    380,738.66x = 525,407.88 × 208,654.52
  4. Step 4: Simplify right side
    380,738.66x = 109,628,729,005.62
  5. Step 5: Solve for x
    x = 109,628,729,005.62/380,738.66
  6. Step 6: Final answer
    x = 287,936.95

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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.