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Finding the Fourth Proportional to 380,221.34, 570,216.81 and 158,553.50

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Solution

The fourth proportional to 380,221.34, 570,216.81 and 158,553.50 is: 237,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,221.34 : 570,216.81 = 158,553.50 : x
  2. Step 2: Convert to fraction form
    380,221.34/570,216.81 = 158,553.50/x
  3. Step 3: Cross multiply
    380,221.34x = 570,216.81 × 158,553.50
  4. Step 4: Simplify right side
    380,221.34x = 90,409,870,984.34
  5. Step 5: Solve for x
    x = 90,409,870,984.34/380,221.34
  6. Step 6: Final answer
    x = 237,782.21

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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.