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Finding the Fourth Proportional to 567,102.26, 782,593.89 and 308,989.95

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Solution

The fourth proportional to 567,102.26, 782,593.89 and 308,989.95 is: 426,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,102.26 : 782,593.89 = 308,989.95 : x
  2. Step 2: Convert to fraction form
    567,102.26/782,593.89 = 308,989.95/x
  3. Step 3: Cross multiply
    567,102.26x = 782,593.89 × 308,989.95
  4. Step 4: Simplify right side
    567,102.26x = 241,813,646,941.41
  5. Step 5: Solve for x
    x = 241,813,646,941.41/567,102.26
  6. Step 6: Final answer
    x = 426,402.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.