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Finding the Fourth Proportional to 540,168.84, 808,197.42 and 326,149

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Solution

The fourth proportional to 540,168.84, 808,197.42 and 326,149 is: 487,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,168.84 : 808,197.42 = 326,149 : x
  2. Step 2: Convert to fraction form
    540,168.84/808,197.42 = 326,149/x
  3. Step 3: Cross multiply
    540,168.84x = 808,197.42 × 326,149
  4. Step 4: Simplify right side
    540,168.84x = 263,592,780,335.58
  5. Step 5: Solve for x
    x = 263,592,780,335.58/540,168.84
  6. Step 6: Final answer
    x = 487,982.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.