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Finding the Fourth Proportional to 461,046.96, 691,403.98 and 194,828.04

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Solution

The fourth proportional to 461,046.96, 691,403.98 and 194,828.04 is: 292,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,046.96 : 691,403.98 = 194,828.04 : x
  2. Step 2: Convert to fraction form
    461,046.96/691,403.98 = 194,828.04/x
  3. Step 3: Cross multiply
    461,046.96x = 691,403.98 × 194,828.04
  4. Step 4: Simplify right side
    461,046.96x = 134,704,882,271.60
  5. Step 5: Solve for x
    x = 134,704,882,271.60/461,046.96
  6. Step 6: Final answer
    x = 292,171.72

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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.