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Finding the Fourth Proportional to 369,334.34, 509,567.97 and 225,944.90

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Solution

The fourth proportional to 369,334.34, 509,567.97 and 225,944.90 is: 311,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,334.34 : 509,567.97 = 225,944.90 : x
  2. Step 2: Convert to fraction form
    369,334.34/509,567.97 = 225,944.90/x
  3. Step 3: Cross multiply
    369,334.34x = 509,567.97 × 225,944.90
  4. Step 4: Simplify right side
    369,334.34x = 115,134,284,024.85
  5. Step 5: Solve for x
    x = 115,134,284,024.85/369,334.34
  6. Step 6: Final answer
    x = 311,734.58

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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.