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Finding the Fourth Proportional to 272,938.60, 409,407.90 and 226,282.60

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Solution

The fourth proportional to 272,938.60, 409,407.90 and 226,282.60 is: 339,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.60 : 409,407.90 = 226,282.60 : x
  2. Step 2: Convert to fraction form
    272,938.60/409,407.90 = 226,282.60/x
  3. Step 3: Cross multiply
    272,938.60x = 409,407.90 × 226,282.60
  4. Step 4: Simplify right side
    272,938.60x = 92,641,884,072.54
  5. Step 5: Solve for x
    x = 92,641,884,072.54/272,938.60
  6. Step 6: Final answer
    x = 339,423.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.