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Finding the Fourth Proportional to 414,278.24, 620,986.44 and 281,169.32

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Solution

The fourth proportional to 414,278.24, 620,986.44 and 281,169.32 is: 421,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,278.24 : 620,986.44 = 281,169.32 : x
  2. Step 2: Convert to fraction form
    414,278.24/620,986.44 = 281,169.32/x
  3. Step 3: Cross multiply
    414,278.24x = 620,986.44 × 281,169.32
  4. Step 4: Simplify right side
    414,278.24x = 174,602,335,064.02
  5. Step 5: Solve for x
    x = 174,602,335,064.02/414,278.24
  6. Step 6: Final answer
    x = 421,461.52

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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.