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Finding the Fourth Proportional to 380,122.56, 524,557.92 and 208,035.68

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Solution

The fourth proportional to 380,122.56, 524,557.92 and 208,035.68 is: 287,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,122.56 : 524,557.92 = 208,035.68 : x
  2. Step 2: Convert to fraction form
    380,122.56/524,557.92 = 208,035.68/x
  3. Step 3: Cross multiply
    380,122.56x = 524,557.92 × 208,035.68
  4. Step 4: Simplify right side
    380,122.56x = 109,126,763,586.59
  5. Step 5: Solve for x
    x = 109,126,763,586.59/380,122.56
  6. Step 6: Final answer
    x = 287,083.10

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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.