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Finding the Fourth Proportional to 461,054.91, 691,416 and 194,835.99

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Solution

The fourth proportional to 461,054.91, 691,416 and 194,835.99 is: 292,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,054.91 : 691,416 = 194,835.99 : x
  2. Step 2: Convert to fraction form
    461,054.91/691,416 = 194,835.99/x
  3. Step 3: Cross multiply
    461,054.91x = 691,416 × 194,835.99
  4. Step 4: Simplify right side
    461,054.91x = 134,712,720,861.84
  5. Step 5: Solve for x
    x = 134,712,720,861.84/461,054.91
  6. Step 6: Final answer
    x = 292,183.68

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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.