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Finding the Fourth Proportional to 409,953.36, 565,738.74 and 228,677.16

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Solution

The fourth proportional to 409,953.36, 565,738.74 and 228,677.16 is: 315,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,953.36 : 565,738.74 = 228,677.16 : x
  2. Step 2: Convert to fraction form
    409,953.36/565,738.74 = 228,677.16/x
  3. Step 3: Cross multiply
    409,953.36x = 565,738.74 × 228,677.16
  4. Step 4: Simplify right side
    409,953.36x = 129,371,528,365.18
  5. Step 5: Solve for x
    x = 129,371,528,365.18/409,953.36
  6. Step 6: Final answer
    x = 315,576.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.