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Finding the Fourth Proportional to 411,632.23, 617,093.49 and 159,089.89

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Solution

The fourth proportional to 411,632.23, 617,093.49 and 159,089.89 is: 238,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,632.23 : 617,093.49 = 159,089.89 : x
  2. Step 2: Convert to fraction form
    411,632.23/617,093.49 = 159,089.89/x
  3. Step 3: Cross multiply
    411,632.23x = 617,093.49 × 159,089.89
  4. Step 4: Simplify right side
    411,632.23x = 98,173,335,443.82
  5. Step 5: Solve for x
    x = 98,173,335,443.82/411,632.23
  6. Step 6: Final answer
    x = 238,497.69

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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.