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Finding the Fourth Proportional to 324,164.42, 446,811.44 and 216,695.24

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Solution

The fourth proportional to 324,164.42, 446,811.44 and 216,695.24 is: 298,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,164.42 : 446,811.44 = 216,695.24 : x
  2. Step 2: Convert to fraction form
    324,164.42/446,811.44 = 216,695.24/x
  3. Step 3: Cross multiply
    324,164.42x = 446,811.44 × 216,695.24
  4. Step 4: Simplify right side
    324,164.42x = 96,821,912,225.55
  5. Step 5: Solve for x
    x = 96,821,912,225.55/324,164.42
  6. Step 6: Final answer
    x = 298,681.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.