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Finding the Fourth Proportional to 313,655.44, 432,853.32 and 184,603

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Solution

The fourth proportional to 313,655.44, 432,853.32 and 184,603 is: 254,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,655.44 : 432,853.32 = 184,603 : x
  2. Step 2: Convert to fraction form
    313,655.44/432,853.32 = 184,603/x
  3. Step 3: Cross multiply
    313,655.44x = 432,853.32 × 184,603
  4. Step 4: Simplify right side
    313,655.44x = 79,906,021,431.96
  5. Step 5: Solve for x
    x = 79,906,021,431.96/313,655.44
  6. Step 6: Final answer
    x = 254,757.33

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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.