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Finding the Fourth Proportional to 397,102.63, 595,727.74 and 130,881.85

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Solution

The fourth proportional to 397,102.63, 595,727.74 and 130,881.85 is: 196,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,102.63 : 595,727.74 = 130,881.85 : x
  2. Step 2: Convert to fraction form
    397,102.63/595,727.74 = 130,881.85/x
  3. Step 3: Cross multiply
    397,102.63x = 595,727.74 × 130,881.85
  4. Step 4: Simplify right side
    397,102.63x = 77,969,948,707.52
  5. Step 5: Solve for x
    x = 77,969,948,707.52/397,102.63
  6. Step 6: Final answer
    x = 196,347.10

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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.