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Finding the Fourth Proportional to 411,385.67, 616,704.84 and 186,623.77

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Solution

The fourth proportional to 411,385.67, 616,704.84 and 186,623.77 is: 279,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,385.67 : 616,704.84 = 186,623.77 : x
  2. Step 2: Convert to fraction form
    411,385.67/616,704.84 = 186,623.77/x
  3. Step 3: Cross multiply
    411,385.67x = 616,704.84 × 186,623.77
  4. Step 4: Simplify right side
    411,385.67x = 115,091,783,567.09
  5. Step 5: Solve for x
    x = 115,091,783,567.09/411,385.67
  6. Step 6: Final answer
    x = 279,766.14

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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.