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Finding the Fourth Proportional to 315,203.54, 434,978.82 and 179,237.51

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Solution

The fourth proportional to 315,203.54, 434,978.82 and 179,237.51 is: 247,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,203.54 : 434,978.82 = 179,237.51 : x
  2. Step 2: Convert to fraction form
    315,203.54/434,978.82 = 179,237.51/x
  3. Step 3: Cross multiply
    315,203.54x = 434,978.82 × 179,237.51
  4. Step 4: Simplify right side
    315,203.54x = 77,964,520,599.54
  5. Step 5: Solve for x
    x = 77,964,520,599.54/315,203.54
  6. Step 6: Final answer
    x = 247,346.59

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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.