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Finding the Fourth Proportional to 397,421.45, 596,132.34 and 97,907.86

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Solution

The fourth proportional to 397,421.45, 596,132.34 and 97,907.86 is: 146,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,421.45 : 596,132.34 = 97,907.86 : x
  2. Step 2: Convert to fraction form
    397,421.45/596,132.34 = 97,907.86/x
  3. Step 3: Cross multiply
    397,421.45x = 596,132.34 × 97,907.86
  4. Step 4: Simplify right side
    397,421.45x = 58,366,040,195.86
  5. Step 5: Solve for x
    x = 58,366,040,195.86/397,421.45
  6. Step 6: Final answer
    x = 146,861.83

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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.