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Finding the Fourth Proportional to 461,653.83, 691,915.77 and 262,141.11

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Solution

The fourth proportional to 461,653.83, 691,915.77 and 262,141.11 is: 392,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,653.83 : 691,915.77 = 262,141.11 : x
  2. Step 2: Convert to fraction form
    461,653.83/691,915.77 = 262,141.11/x
  3. Step 3: Cross multiply
    461,653.83x = 691,915.77 × 262,141.11
  4. Step 4: Simplify right side
    461,653.83x = 181,379,567,974.31
  5. Step 5: Solve for x
    x = 181,379,567,974.31/461,653.83
  6. Step 6: Final answer
    x = 392,890.85

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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.