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Finding the Fourth Proportional to 432,213.50, 649,740.08 and 401,000.76

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Solution

The fourth proportional to 432,213.50, 649,740.08 and 401,000.76 is: 602,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,213.50 : 649,740.08 = 401,000.76 : x
  2. Step 2: Convert to fraction form
    432,213.50/649,740.08 = 401,000.76/x
  3. Step 3: Cross multiply
    432,213.50x = 649,740.08 × 401,000.76
  4. Step 4: Simplify right side
    432,213.50x = 260,546,266,884.96
  5. Step 5: Solve for x
    x = 260,546,266,884.96/432,213.50
  6. Step 6: Final answer
    x = 602,818.43

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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.