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Finding the Fourth Proportional to 704,675.22, 1,057,174.29 and 305,383.02

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Solution

The fourth proportional to 704,675.22, 1,057,174.29 and 305,383.02 is: 458,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,675.22 : 1,057,174.29 = 305,383.02 : x
  2. Step 2: Convert to fraction form
    704,675.22/1,057,174.29 = 305,383.02/x
  3. Step 3: Cross multiply
    704,675.22x = 1,057,174.29 × 305,383.02
  4. Step 4: Simplify right side
    704,675.22x = 322,843,077,346.56
  5. Step 5: Solve for x
    x = 322,843,077,346.56/704,675.22
  6. Step 6: Final answer
    x = 458,144.50

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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.