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Finding the Fourth Proportional to 409,880.36, 565,638 and 228,604.16

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Solution

The fourth proportional to 409,880.36, 565,638 and 228,604.16 is: 315,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,880.36 : 565,638 = 228,604.16 : x
  2. Step 2: Convert to fraction form
    409,880.36/565,638 = 228,604.16/x
  3. Step 3: Cross multiply
    409,880.36x = 565,638 × 228,604.16
  4. Step 4: Simplify right side
    409,880.36x = 129,307,199,854.08
  5. Step 5: Solve for x
    x = 129,307,199,854.08/409,880.36
  6. Step 6: Final answer
    x = 315,475.47

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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.