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Finding the Fourth Proportional to 308,095.79, 461,762.17 and 174,571.23

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Solution

The fourth proportional to 308,095.79, 461,762.17 and 174,571.23 is: 261,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,095.79 : 461,762.17 = 174,571.23 : x
  2. Step 2: Convert to fraction form
    308,095.79/461,762.17 = 174,571.23/x
  3. Step 3: Cross multiply
    308,095.79x = 461,762.17 × 174,571.23
  4. Step 4: Simplify right side
    308,095.79x = 80,610,391,279.55
  5. Step 5: Solve for x
    x = 80,610,391,279.55/308,095.79
  6. Step 6: Final answer
    x = 261,640.68

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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.