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Finding the Fourth Proportional to 380,059.30, 524,481.89 and 207,977.30

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Solution

The fourth proportional to 380,059.30, 524,481.89 and 207,977.30 is: 287,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,059.30 : 524,481.89 = 207,977.30 : x
  2. Step 2: Convert to fraction form
    380,059.30/524,481.89 = 207,977.30/x
  3. Step 3: Cross multiply
    380,059.30x = 524,481.89 × 207,977.30
  4. Step 4: Simplify right side
    380,059.30x = 109,080,326,341.21
  5. Step 5: Solve for x
    x = 109,080,326,341.21/380,059.30
  6. Step 6: Final answer
    x = 287,008.70

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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.