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Finding the Fourth Proportional to 297,383.76, 410,289.66 and 190,016.64

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Solution

The fourth proportional to 297,383.76, 410,289.66 and 190,016.64 is: 262,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.76 : 410,289.66 = 190,016.64 : x
  2. Step 2: Convert to fraction form
    297,383.76/410,289.66 = 190,016.64/x
  3. Step 3: Cross multiply
    297,383.76x = 410,289.66 × 190,016.64
  4. Step 4: Simplify right side
    297,383.76x = 77,961,862,619.94
  5. Step 5: Solve for x
    x = 77,961,862,619.94/297,383.76
  6. Step 6: Final answer
    x = 262,159.11

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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.