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Finding the Fourth Proportional to 409,641.90, 565,347.78 and 228,383.34

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Solution

The fourth proportional to 409,641.90, 565,347.78 and 228,383.34 is: 315,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,641.90 : 565,347.78 = 228,383.34 : x
  2. Step 2: Convert to fraction form
    409,641.90/565,347.78 = 228,383.34/x
  3. Step 3: Cross multiply
    409,641.90x = 565,347.78 × 228,383.34
  4. Step 4: Simplify right side
    409,641.90x = 129,116,014,257.99
  5. Step 5: Solve for x
    x = 129,116,014,257.99/409,641.90
  6. Step 6: Final answer
    x = 315,192.40

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