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Finding the Fourth Proportional to 501,247.12, 751,621.84 and 159,646

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Solution

The fourth proportional to 501,247.12, 751,621.84 and 159,646 is: 239,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,247.12 : 751,621.84 = 159,646 : x
  2. Step 2: Convert to fraction form
    501,247.12/751,621.84 = 159,646/x
  3. Step 3: Cross multiply
    501,247.12x = 751,621.84 × 159,646
  4. Step 4: Simplify right side
    501,247.12x = 119,993,420,268.64
  5. Step 5: Solve for x
    x = 119,993,420,268.64/501,247.12
  6. Step 6: Final answer
    x = 239,389.75

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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.