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Finding the Fourth Proportional to 305,620.48, 458,326.86 and 105,894.24

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Solution

The fourth proportional to 305,620.48, 458,326.86 and 105,894.24 is: 158,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,620.48 : 458,326.86 = 105,894.24 : x
  2. Step 2: Convert to fraction form
    305,620.48/458,326.86 = 105,894.24/x
  3. Step 3: Cross multiply
    305,620.48x = 458,326.86 × 105,894.24
  4. Step 4: Simplify right side
    305,620.48x = 48,534,174,511.29
  5. Step 5: Solve for x
    x = 48,534,174,511.29/305,620.48
  6. Step 6: Final answer
    x = 158,805.37

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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.