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Finding the Fourth Proportional to 409,654.68, 565,322.14 and 228,364.60

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Solution

The fourth proportional to 409,654.68, 565,322.14 and 228,364.60 is: 315,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,654.68 : 565,322.14 = 228,364.60 : x
  2. Step 2: Convert to fraction form
    409,654.68/565,322.14 = 228,364.60/x
  3. Step 3: Cross multiply
    409,654.68x = 565,322.14 × 228,364.60
  4. Step 4: Simplify right side
    409,654.68x = 129,099,564,372.24
  5. Step 5: Solve for x
    x = 129,099,564,372.24/409,654.68
  6. Step 6: Final answer
    x = 315,142.41

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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.