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Finding the Fourth Proportional to 378,529.40, 522,352.14 and 225,564.18

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Solution

The fourth proportional to 378,529.40, 522,352.14 and 225,564.18 is: 311,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,529.40 : 522,352.14 = 225,564.18 : x
  2. Step 2: Convert to fraction form
    378,529.40/522,352.14 = 225,564.18/x
  3. Step 3: Cross multiply
    378,529.40x = 522,352.14 × 225,564.18
  4. Step 4: Simplify right side
    378,529.40x = 117,823,931,370.73
  5. Step 5: Solve for x
    x = 117,823,931,370.73/378,529.40
  6. Step 6: Final answer
    x = 311,267.59

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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.