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Finding the Fourth Proportional to 337,916.22, 466,274.20 and 205,240

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Solution

The fourth proportional to 337,916.22, 466,274.20 and 205,240 is: 283,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,916.22 : 466,274.20 = 205,240 : x
  2. Step 2: Convert to fraction form
    337,916.22/466,274.20 = 205,240/x
  3. Step 3: Cross multiply
    337,916.22x = 466,274.20 × 205,240
  4. Step 4: Simplify right side
    337,916.22x = 95,698,116,808
  5. Step 5: Solve for x
    x = 95,698,116,808/337,916.22
  6. Step 6: Final answer
    x = 283,200.72

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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.