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Finding the Fourth Proportional to 409,684, 565,366.26 and 228,407.32

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Solution

The fourth proportional to 409,684, 565,366.26 and 228,407.32 is: 315,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,684 : 565,366.26 = 228,407.32 : x
  2. Step 2: Convert to fraction form
    409,684/565,366.26 = 228,407.32/x
  3. Step 3: Cross multiply
    409,684x = 565,366.26 × 228,407.32
  4. Step 4: Simplify right side
    409,684x = 129,133,792,265.02
  5. Step 5: Solve for x
    x = 129,133,792,265.02/409,684
  6. Step 6: Final answer
    x = 315,203.41

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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.