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Finding the Fourth Proportional to 326,390.96, 489,448.20 and 116,081.84

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Solution

The fourth proportional to 326,390.96, 489,448.20 and 116,081.84 is: 174,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,390.96 : 489,448.20 = 116,081.84 : x
  2. Step 2: Convert to fraction form
    326,390.96/489,448.20 = 116,081.84/x
  3. Step 3: Cross multiply
    326,390.96x = 489,448.20 × 116,081.84
  4. Step 4: Simplify right side
    326,390.96x = 56,816,047,640.69
  5. Step 5: Solve for x
    x = 56,816,047,640.69/326,390.96
  6. Step 6: Final answer
    x = 174,073.59

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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.