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Finding the Fourth Proportional to 313,583.37, 432,693.75 and 184,630.51

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Solution

The fourth proportional to 313,583.37, 432,693.75 and 184,630.51 is: 254,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,583.37 : 432,693.75 = 184,630.51 : x
  2. Step 2: Convert to fraction form
    313,583.37/432,693.75 = 184,630.51/x
  3. Step 3: Cross multiply
    313,583.37x = 432,693.75 × 184,630.51
  4. Step 4: Simplify right side
    313,583.37x = 79,888,467,736.31
  5. Step 5: Solve for x
    x = 79,888,467,736.31/313,583.37
  6. Step 6: Final answer
    x = 254,759.90

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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.