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Finding the Fourth Proportional to 380,610.72, 570,914.34 and 96,303.96

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Solution

The fourth proportional to 380,610.72, 570,914.34 and 96,303.96 is: 144,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,610.72 : 570,914.34 = 96,303.96 : x
  2. Step 2: Convert to fraction form
    380,610.72/570,914.34 = 96,303.96/x
  3. Step 3: Cross multiply
    380,610.72x = 570,914.34 × 96,303.96
  4. Step 4: Simplify right side
    380,610.72x = 54,981,311,762.79
  5. Step 5: Solve for x
    x = 54,981,311,762.79/380,610.72
  6. Step 6: Final answer
    x = 144,455.50

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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.