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Finding the Fourth Proportional to 647,227.80, 970,496.10 and 272,827.80

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Solution

The fourth proportional to 647,227.80, 970,496.10 and 272,827.80 is: 409,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,227.80 : 970,496.10 = 272,827.80 : x
  2. Step 2: Convert to fraction form
    647,227.80/970,496.10 = 272,827.80/x
  3. Step 3: Cross multiply
    647,227.80x = 970,496.10 × 272,827.80
  4. Step 4: Simplify right side
    647,227.80x = 264,778,315,871.58
  5. Step 5: Solve for x
    x = 264,778,315,871.58/647,227.80
  6. Step 6: Final answer
    x = 409,096.02

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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.