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Finding the Fourth Proportional to 305,616.48, 458,320.86 and 105,890.24

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Solution

The fourth proportional to 305,616.48, 458,320.86 and 105,890.24 is: 158,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616.48 : 458,320.86 = 105,890.24 : x
  2. Step 2: Convert to fraction form
    305,616.48/458,320.86 = 105,890.24/x
  3. Step 3: Cross multiply
    305,616.48x = 458,320.86 × 105,890.24
  4. Step 4: Simplify right side
    305,616.48x = 48,531,703,570.80
  5. Step 5: Solve for x
    x = 48,531,703,570.80/305,616.48
  6. Step 6: Final answer
    x = 158,799.37

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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.