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Finding the Fourth Proportional to 713,832.28, 985,090.14 and 412,026.04

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Solution

The fourth proportional to 713,832.28, 985,090.14 and 412,026.04 is: 568,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,832.28 : 985,090.14 = 412,026.04 : x
  2. Step 2: Convert to fraction form
    713,832.28/985,090.14 = 412,026.04/x
  3. Step 3: Cross multiply
    713,832.28x = 985,090.14 × 412,026.04
  4. Step 4: Simplify right side
    713,832.28x = 405,882,789,427.25
  5. Step 5: Solve for x
    x = 405,882,789,427.25/713,832.28
  6. Step 6: Final answer
    x = 568,596.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.