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Finding the Fourth Proportional to 380,555.66, 570,834.84 and 127,828.92

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Solution

The fourth proportional to 380,555.66, 570,834.84 and 127,828.92 is: 191,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,555.66 : 570,834.84 = 127,828.92 : x
  2. Step 2: Convert to fraction form
    380,555.66/570,834.84 = 127,828.92/x
  3. Step 3: Cross multiply
    380,555.66x = 570,834.84 × 127,828.92
  4. Step 4: Simplify right side
    380,555.66x = 72,969,201,095.57
  5. Step 5: Solve for x
    x = 72,969,201,095.57/380,555.66
  6. Step 6: Final answer
    x = 191,743.83

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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.