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Finding the Fourth Proportional to 474,403.22, 654,683.82 and 259,546.87

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Solution

The fourth proportional to 474,403.22, 654,683.82 and 259,546.87 is: 358,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,403.22 : 654,683.82 = 259,546.87 : x
  2. Step 2: Convert to fraction form
    474,403.22/654,683.82 = 259,546.87/x
  3. Step 3: Cross multiply
    474,403.22x = 654,683.82 × 259,546.87
  4. Step 4: Simplify right side
    474,403.22x = 169,921,131,749.49
  5. Step 5: Solve for x
    x = 169,921,131,749.49/474,403.22
  6. Step 6: Final answer
    x = 358,178.71

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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.