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Finding the Fourth Proportional to 324,188.34, 447,616.98 and 209,534.88

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Solution

The fourth proportional to 324,188.34, 447,616.98 and 209,534.88 is: 289,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,188.34 : 447,616.98 = 209,534.88 : x
  2. Step 2: Convert to fraction form
    324,188.34/447,616.98 = 209,534.88/x
  3. Step 3: Cross multiply
    324,188.34x = 447,616.98 × 209,534.88
  4. Step 4: Simplify right side
    324,188.34x = 93,791,370,190.26
  5. Step 5: Solve for x
    x = 93,791,370,190.26/324,188.34
  6. Step 6: Final answer
    x = 289,311.36

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