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Finding the Fourth Proportional to 411,081.89, 616,507.61 and 174,262.59

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Solution

The fourth proportional to 411,081.89, 616,507.61 and 174,262.59 is: 261,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,081.89 : 616,507.61 = 174,262.59 : x
  2. Step 2: Convert to fraction form
    411,081.89/616,507.61 = 174,262.59/x
  3. Step 3: Cross multiply
    411,081.89x = 616,507.61 × 174,262.59
  4. Step 4: Simplify right side
    411,081.89x = 107,434,212,002.00
  5. Step 5: Solve for x
    x = 107,434,212,002.00/411,081.89
  6. Step 6: Final answer
    x = 261,345.04

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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.