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Finding the Fourth Proportional to 386,506.24, 579,733.44 and 106,000

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Solution

The fourth proportional to 386,506.24, 579,733.44 and 106,000 is: 158,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,506.24 : 579,733.44 = 106,000 : x
  2. Step 2: Convert to fraction form
    386,506.24/579,733.44 = 106,000/x
  3. Step 3: Cross multiply
    386,506.24x = 579,733.44 × 106,000
  4. Step 4: Simplify right side
    386,506.24x = 61,451,744,640.00
  5. Step 5: Solve for x
    x = 61,451,744,640.00/386,506.24
  6. Step 6: Final answer
    x = 158,992.89

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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.