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Finding the Fourth Proportional to 409,906.04, 565,669.14 and 228,618.20

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Solution

The fourth proportional to 409,906.04, 565,669.14 and 228,618.20 is: 315,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,906.04 : 565,669.14 = 228,618.20 : x
  2. Step 2: Convert to fraction form
    409,906.04/565,669.14 = 228,618.20/x
  3. Step 3: Cross multiply
    409,906.04x = 565,669.14 × 228,618.20
  4. Step 4: Simplify right side
    409,906.04x = 129,322,260,582.35
  5. Step 5: Solve for x
    x = 129,322,260,582.35/409,906.04
  6. Step 6: Final answer
    x = 315,492.45

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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.