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Finding the Fourth Proportional to 380,541, 570,789.63 and 114,295.62

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Solution

The fourth proportional to 380,541, 570,789.63 and 114,295.62 is: 171,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,541 : 570,789.63 = 114,295.62 : x
  2. Step 2: Convert to fraction form
    380,541/570,789.63 = 114,295.62/x
  3. Step 3: Cross multiply
    380,541x = 570,789.63 × 114,295.62
  4. Step 4: Simplify right side
    380,541x = 65,238,754,650.42
  5. Step 5: Solve for x
    x = 65,238,754,650.42/380,541
  6. Step 6: Final answer
    x = 171,436.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.