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Finding the Fourth Proportional to 409,878.36, 565,635.24 and 228,602.16

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Solution

The fourth proportional to 409,878.36, 565,635.24 and 228,602.16 is: 315,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,878.36 : 565,635.24 = 228,602.16 : x
  2. Step 2: Convert to fraction form
    409,878.36/565,635.24 = 228,602.16/x
  3. Step 3: Cross multiply
    409,878.36x = 565,635.24 × 228,602.16
  4. Step 4: Simplify right side
    409,878.36x = 129,305,437,636.12
  5. Step 5: Solve for x
    x = 129,305,437,636.12/409,878.36
  6. Step 6: Final answer
    x = 315,472.71

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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.