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Finding the Fourth Proportional to 329,043.98, 454,091.20 and 201,848.06

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Solution

The fourth proportional to 329,043.98, 454,091.20 and 201,848.06 is: 278,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,043.98 : 454,091.20 = 201,848.06 : x
  2. Step 2: Convert to fraction form
    329,043.98/454,091.20 = 201,848.06/x
  3. Step 3: Cross multiply
    329,043.98x = 454,091.20 × 201,848.06
  4. Step 4: Simplify right side
    329,043.98x = 91,657,427,783.07
  5. Step 5: Solve for x
    x = 91,657,427,783.07/329,043.98
  6. Step 6: Final answer
    x = 278,556.77

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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.