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Finding the Fourth Proportional to 324,852.64, 487,348.49 and 97,166.12

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Solution

The fourth proportional to 324,852.64, 487,348.49 and 97,166.12 is: 145,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,852.64 : 487,348.49 = 97,166.12 : x
  2. Step 2: Convert to fraction form
    324,852.64/487,348.49 = 97,166.12/x
  3. Step 3: Cross multiply
    324,852.64x = 487,348.49 × 97,166.12
  4. Step 4: Simplify right side
    324,852.64x = 47,353,759,667.33
  5. Step 5: Solve for x
    x = 47,353,759,667.33/324,852.64
  6. Step 6: Final answer
    x = 145,769.97

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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.