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Finding the Fourth Proportional to 314,978.69, 434,659.77 and 179,010.27

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Solution

The fourth proportional to 314,978.69, 434,659.77 and 179,010.27 is: 247,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,978.69 : 434,659.77 = 179,010.27 : x
  2. Step 2: Convert to fraction form
    314,978.69/434,659.77 = 179,010.27/x
  3. Step 3: Cross multiply
    314,978.69x = 434,659.77 × 179,010.27
  4. Step 4: Simplify right side
    314,978.69x = 77,808,562,785.84
  5. Step 5: Solve for x
    x = 77,808,562,785.84/314,978.69
  6. Step 6: Final answer
    x = 247,028.02

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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.