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Finding the Fourth Proportional to 356,683.01, 491,792.14 and 308,197.31

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Solution

The fourth proportional to 356,683.01, 491,792.14 and 308,197.31 is: 424,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,683.01 : 491,792.14 = 308,197.31 : x
  2. Step 2: Convert to fraction form
    356,683.01/491,792.14 = 308,197.31/x
  3. Step 3: Cross multiply
    356,683.01x = 491,792.14 × 308,197.31
  4. Step 4: Simplify right side
    356,683.01x = 151,569,014,627.14
  5. Step 5: Solve for x
    x = 151,569,014,627.14/356,683.01
  6. Step 6: Final answer
    x = 424,940.38

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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.