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Finding the Fourth Proportional to 380,815.83, 525,385.17 and 227,857.59

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Solution

The fourth proportional to 380,815.83, 525,385.17 and 227,857.59 is: 314,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,815.83 : 525,385.17 = 227,857.59 : x
  2. Step 2: Convert to fraction form
    380,815.83/525,385.17 = 227,857.59/x
  3. Step 3: Cross multiply
    380,815.83x = 525,385.17 × 227,857.59
  4. Step 4: Simplify right side
    380,815.83x = 119,712,998,657.94
  5. Step 5: Solve for x
    x = 119,712,998,657.94/380,815.83
  6. Step 6: Final answer
    x = 314,359.30

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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.