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Finding the Fourth Proportional to 409,439.46, 565,012.08 and 228,142.02

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Solution

The fourth proportional to 409,439.46, 565,012.08 and 228,142.02 is: 314,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,439.46 : 565,012.08 = 228,142.02 : x
  2. Step 2: Convert to fraction form
    409,439.46/565,012.08 = 228,142.02/x
  3. Step 3: Cross multiply
    409,439.46x = 565,012.08 × 228,142.02
  4. Step 4: Simplify right side
    409,439.46x = 128,902,997,255.60
  5. Step 5: Solve for x
    x = 128,902,997,255.60/409,439.46
  6. Step 6: Final answer
    x = 314,827.98

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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.