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Finding the Fourth Proportional to 305,749.74, 421,920.44 and 169,792.32

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Solution

The fourth proportional to 305,749.74, 421,920.44 and 169,792.32 is: 234,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,749.74 : 421,920.44 = 169,792.32 : x
  2. Step 2: Convert to fraction form
    305,749.74/421,920.44 = 169,792.32/x
  3. Step 3: Cross multiply
    305,749.74x = 421,920.44 × 169,792.32
  4. Step 4: Simplify right side
    305,749.74x = 71,638,850,363.02
  5. Step 5: Solve for x
    x = 71,638,850,363.02/305,749.74
  6. Step 6: Final answer
    x = 234,305.52

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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.