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Finding the Fourth Proportional to 305,587.51, 421,665.82 and 169,622.48

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Solution

The fourth proportional to 305,587.51, 421,665.82 and 169,622.48 is: 234,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,587.51 : 421,665.82 = 169,622.48 : x
  2. Step 2: Convert to fraction form
    305,587.51/421,665.82 = 169,622.48/x
  3. Step 3: Cross multiply
    305,587.51x = 421,665.82 × 169,622.48
  4. Step 4: Simplify right side
    305,587.51x = 71,523,999,163.19
  5. Step 5: Solve for x
    x = 71,523,999,163.19/305,587.51
  6. Step 6: Final answer
    x = 234,054.07

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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.