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Finding the Fourth Proportional to 409,612.41, 565,284.29 and 228,325.64

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Solution

The fourth proportional to 409,612.41, 565,284.29 and 228,325.64 is: 315,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,612.41 : 565,284.29 = 228,325.64 : x
  2. Step 2: Convert to fraction form
    409,612.41/565,284.29 = 228,325.64/x
  3. Step 3: Cross multiply
    409,612.41x = 565,284.29 × 228,325.64
  4. Step 4: Simplify right side
    409,612.41x = 129,068,893,328.15
  5. Step 5: Solve for x
    x = 129,068,893,328.15/409,612.41
  6. Step 6: Final answer
    x = 315,100.06

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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.