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Finding the Fourth Proportional to 417,812.09, 626,617.10 and 192,956.27

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Solution

The fourth proportional to 417,812.09, 626,617.10 and 192,956.27 is: 289,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,812.09 : 626,617.10 = 192,956.27 : x
  2. Step 2: Convert to fraction form
    417,812.09/626,617.10 = 192,956.27/x
  3. Step 3: Cross multiply
    417,812.09x = 626,617.10 × 192,956.27
  4. Step 4: Simplify right side
    417,812.09x = 120,909,695,683.52
  5. Step 5: Solve for x
    x = 120,909,695,683.52/417,812.09
  6. Step 6: Final answer
    x = 289,387.74

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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.