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Finding the Fourth Proportional to 397,751.21, 596,701.08 and 131,699.01

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Solution

The fourth proportional to 397,751.21, 596,701.08 and 131,699.01 is: 197,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,751.21 : 596,701.08 = 131,699.01 : x
  2. Step 2: Convert to fraction form
    397,751.21/596,701.08 = 131,699.01/x
  3. Step 3: Cross multiply
    397,751.21x = 596,701.08 × 131,699.01
  4. Step 4: Simplify right side
    397,751.21x = 78,584,943,739.56
  5. Step 5: Solve for x
    x = 78,584,943,739.56/397,751.21
  6. Step 6: Final answer
    x = 197,573.11

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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.