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Finding the Fourth Proportional to 409,564.93, 565,202.22 and 228,288.35

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Solution

The fourth proportional to 409,564.93, 565,202.22 and 228,288.35 is: 315,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.93 : 565,202.22 = 228,288.35 : x
  2. Step 2: Convert to fraction form
    409,564.93/565,202.22 = 228,288.35/x
  3. Step 3: Cross multiply
    409,564.93x = 565,202.22 × 228,288.35
  4. Step 4: Simplify right side
    409,564.93x = 129,029,081,513.63
  5. Step 5: Solve for x
    x = 129,029,081,513.63/409,564.93
  6. Step 6: Final answer
    x = 315,039.38

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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.