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Finding the Fourth Proportional to 685,587.24, 945,997.92 and 430,758

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Solution

The fourth proportional to 685,587.24, 945,997.92 and 430,758 is: 594,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,587.24 : 945,997.92 = 430,758 : x
  2. Step 2: Convert to fraction form
    685,587.24/945,997.92 = 430,758/x
  3. Step 3: Cross multiply
    685,587.24x = 945,997.92 × 430,758
  4. Step 4: Simplify right side
    685,587.24x = 407,496,172,023.36
  5. Step 5: Solve for x
    x = 407,496,172,023.36/685,587.24
  6. Step 6: Final answer
    x = 594,375.37

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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.