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Finding the Fourth Proportional to 397,797.47, 596,697.83 and 161,144.63

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Solution

The fourth proportional to 397,797.47, 596,697.83 and 161,144.63 is: 241,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,797.47 : 596,697.83 = 161,144.63 : x
  2. Step 2: Convert to fraction form
    397,797.47/596,697.83 = 161,144.63/x
  3. Step 3: Cross multiply
    397,797.47x = 596,697.83 × 161,144.63
  4. Step 4: Simplify right side
    397,797.47x = 96,154,651,037.15
  5. Step 5: Solve for x
    x = 96,154,651,037.15/397,797.47
  6. Step 6: Final answer
    x = 241,717.60

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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.