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Finding the Fourth Proportional to 272,938.40, 409,407.60 and 202,079.60

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Solution

The fourth proportional to 272,938.40, 409,407.60 and 202,079.60 is: 303,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.40 : 409,407.60 = 202,079.60 : x
  2. Step 2: Convert to fraction form
    272,938.40/409,407.60 = 202,079.60/x
  3. Step 3: Cross multiply
    272,938.40x = 409,407.60 × 202,079.60
  4. Step 4: Simplify right side
    272,938.40x = 82,732,924,044.96
  5. Step 5: Solve for x
    x = 82,732,924,044.96/272,938.40
  6. Step 6: Final answer
    x = 303,119.40

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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.