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Finding the Fourth Proportional to 433,388.42, 649,656.15 and 253,245.22

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Solution

The fourth proportional to 433,388.42, 649,656.15 and 253,245.22 is: 379,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,388.42 : 649,656.15 = 253,245.22 : x
  2. Step 2: Convert to fraction form
    433,388.42/649,656.15 = 253,245.22/x
  3. Step 3: Cross multiply
    433,388.42x = 649,656.15 × 253,245.22
  4. Step 4: Simplify right side
    433,388.42x = 164,522,314,631.10
  5. Step 5: Solve for x
    x = 164,522,314,631.10/433,388.42
  6. Step 6: Final answer
    x = 379,618.62

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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.