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Finding the Fourth Proportional to 306,772.44, 459,546 and 243,699.36

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Solution

The fourth proportional to 306,772.44, 459,546 and 243,699.36 is: 365,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,772.44 : 459,546 = 243,699.36 : x
  2. Step 2: Convert to fraction form
    306,772.44/459,546 = 243,699.36/x
  3. Step 3: Cross multiply
    306,772.44x = 459,546 × 243,699.36
  4. Step 4: Simplify right side
    306,772.44x = 111,991,066,090.56
  5. Step 5: Solve for x
    x = 111,991,066,090.56/306,772.44
  6. Step 6: Final answer
    x = 365,062.34

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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.