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Finding the Fourth Proportional to 411,064.39, 616,222.90 and 158,183.61

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Solution

The fourth proportional to 411,064.39, 616,222.90 and 158,183.61 is: 237,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,064.39 : 616,222.90 = 158,183.61 : x
  2. Step 2: Convert to fraction form
    411,064.39/616,222.90 = 158,183.61/x
  3. Step 3: Cross multiply
    411,064.39x = 616,222.90 × 158,183.61
  4. Step 4: Simplify right side
    411,064.39x = 97,476,362,886.67
  5. Step 5: Solve for x
    x = 97,476,362,886.67/411,064.39
  6. Step 6: Final answer
    x = 237,131.62

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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.