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Finding the Fourth Proportional to 409,564.64, 565,202 and 228,288.24

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Solution

The fourth proportional to 409,564.64, 565,202 and 228,288.24 is: 315,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.64 : 565,202 = 228,288.24 : x
  2. Step 2: Convert to fraction form
    409,564.64/565,202 = 228,288.24/x
  3. Step 3: Cross multiply
    409,564.64x = 565,202 × 228,288.24
  4. Step 4: Simplify right side
    409,564.64x = 129,028,969,824.48
  5. Step 5: Solve for x
    x = 129,028,969,824.48/409,564.64
  6. Step 6: Final answer
    x = 315,039.33

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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.