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Finding the Fourth Proportional to 397,503.89, 596,259.39 and 113,194.19

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Solution

The fourth proportional to 397,503.89, 596,259.39 and 113,194.19 is: 169,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,503.89 : 596,259.39 = 113,194.19 : x
  2. Step 2: Convert to fraction form
    397,503.89/596,259.39 = 113,194.19/x
  3. Step 3: Cross multiply
    397,503.89x = 596,259.39 × 113,194.19
  4. Step 4: Simplify right side
    397,503.89x = 67,493,100,596.07
  5. Step 5: Solve for x
    x = 67,493,100,596.07/397,503.89
  6. Step 6: Final answer
    x = 169,792.30

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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.