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Finding the Fourth Proportional to 305,344.69, 458,019.97 and 115,754.06

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Solution

The fourth proportional to 305,344.69, 458,019.97 and 115,754.06 is: 173,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344.69 : 458,019.97 = 115,754.06 : x
  2. Step 2: Convert to fraction form
    305,344.69/458,019.97 = 115,754.06/x
  3. Step 3: Cross multiply
    305,344.69x = 458,019.97 × 115,754.06
  4. Step 4: Simplify right side
    305,344.69x = 53,017,671,944.24
  5. Step 5: Solve for x
    x = 53,017,671,944.24/305,344.69
  6. Step 6: Final answer
    x = 173,632.21

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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.