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Finding the Fourth Proportional to 329,326.80, 493,970.76 and 202,991.16

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Solution

The fourth proportional to 329,326.80, 493,970.76 and 202,991.16 is: 304,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,326.80 : 493,970.76 = 202,991.16 : x
  2. Step 2: Convert to fraction form
    329,326.80/493,970.76 = 202,991.16/x
  3. Step 3: Cross multiply
    329,326.80x = 493,970.76 × 202,991.16
  4. Step 4: Simplify right side
    329,326.80x = 100,271,697,578.48
  5. Step 5: Solve for x
    x = 100,271,697,578.48/329,326.80
  6. Step 6: Final answer
    x = 304,474.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.