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Finding the Fourth Proportional to 409,974.45, 565,765.59 and 228,681.70

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Solution

The fourth proportional to 409,974.45, 565,765.59 and 228,681.70 is: 315,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,974.45 : 565,765.59 = 228,681.70 : x
  2. Step 2: Convert to fraction form
    409,974.45/565,765.59 = 228,681.70/x
  3. Step 3: Cross multiply
    409,974.45x = 565,765.59 × 228,681.70
  4. Step 4: Simplify right side
    409,974.45x = 129,380,236,365.85
  5. Step 5: Solve for x
    x = 129,380,236,365.85/409,974.45
  6. Step 6: Final answer
    x = 315,581.22

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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.