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Finding the Fourth Proportional to 397,692.34, 596,631.94 and 131,452.87

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Solution

The fourth proportional to 397,692.34, 596,631.94 and 131,452.87 is: 197,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,692.34 : 596,631.94 = 131,452.87 : x
  2. Step 2: Convert to fraction form
    397,692.34/596,631.94 = 131,452.87/x
  3. Step 3: Cross multiply
    397,692.34x = 596,631.94 × 131,452.87
  4. Step 4: Simplify right side
    397,692.34x = 78,428,980,846.67
  5. Step 5: Solve for x
    x = 78,428,980,846.67/397,692.34
  6. Step 6: Final answer
    x = 197,210.19

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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.