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Finding the Fourth Proportional to 432,836.10, 649,254.15 and 401,343.30

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Solution

The fourth proportional to 432,836.10, 649,254.15 and 401,343.30 is: 602,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,836.10 : 649,254.15 = 401,343.30 : x
  2. Step 2: Convert to fraction form
    432,836.10/649,254.15 = 401,343.30/x
  3. Step 3: Cross multiply
    432,836.10x = 649,254.15 × 401,343.30
  4. Step 4: Simplify right side
    432,836.10x = 260,573,803,099.70
  5. Step 5: Solve for x
    x = 260,573,803,099.70/432,836.10
  6. Step 6: Final answer
    x = 602,014.95

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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.