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Finding the Fourth Proportional to 380,293.36, 524,811.06 and 208,208.44

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Solution

The fourth proportional to 380,293.36, 524,811.06 and 208,208.44 is: 287,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,293.36 : 524,811.06 = 208,208.44 : x
  2. Step 2: Convert to fraction form
    380,293.36/524,811.06 = 208,208.44/x
  3. Step 3: Cross multiply
    380,293.36x = 524,811.06 × 208,208.44
  4. Step 4: Simplify right side
    380,293.36x = 109,270,092,097.35
  5. Step 5: Solve for x
    x = 109,270,092,097.35/380,293.36
  6. Step 6: Final answer
    x = 287,331.05

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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.