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Finding the Fourth Proportional to 409,383.90, 564,991.38 and 228,125.34

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Solution

The fourth proportional to 409,383.90, 564,991.38 and 228,125.34 is: 314,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,383.90 : 564,991.38 = 228,125.34 : x
  2. Step 2: Convert to fraction form
    409,383.90/564,991.38 = 228,125.34/x
  3. Step 3: Cross multiply
    409,383.90x = 564,991.38 × 228,125.34
  4. Step 4: Simplify right side
    409,383.90x = 128,888,850,659.57
  5. Step 5: Solve for x
    x = 128,888,850,659.57/409,383.90
  6. Step 6: Final answer
    x = 314,836.15

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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.