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Finding the Fourth Proportional to 410,704.84, 616,056.86 and 154,585.24

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Solution

The fourth proportional to 410,704.84, 616,056.86 and 154,585.24 is: 231,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,704.84 : 616,056.86 = 154,585.24 : x
  2. Step 2: Convert to fraction form
    410,704.84/616,056.86 = 154,585.24/x
  3. Step 3: Cross multiply
    410,704.84x = 616,056.86 × 154,585.24
  4. Step 4: Simplify right side
    410,704.84x = 95,233,297,556.75
  5. Step 5: Solve for x
    x = 95,233,297,556.75/410,704.84
  6. Step 6: Final answer
    x = 231,877.71

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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.