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Finding the Fourth Proportional to 331,488.90, 497,666.97 and 196,798.86

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Solution

The fourth proportional to 331,488.90, 497,666.97 and 196,798.86 is: 295,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,488.90 : 497,666.97 = 196,798.86 : x
  2. Step 2: Convert to fraction form
    331,488.90/497,666.97 = 196,798.86/x
  3. Step 3: Cross multiply
    331,488.90x = 497,666.97 × 196,798.86
  4. Step 4: Simplify right side
    331,488.90x = 97,940,292,355.65
  5. Step 5: Solve for x
    x = 97,940,292,355.65/331,488.90
  6. Step 6: Final answer
    x = 295,455.72

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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.