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Finding the Fourth Proportional to 304,796.73, 420,579.63 and 175,740.06

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Solution

The fourth proportional to 304,796.73, 420,579.63 and 175,740.06 is: 242,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.73 : 420,579.63 = 175,740.06 : x
  2. Step 2: Convert to fraction form
    304,796.73/420,579.63 = 175,740.06/x
  3. Step 3: Cross multiply
    304,796.73x = 420,579.63 × 175,740.06
  4. Step 4: Simplify right side
    304,796.73x = 73,912,689,410.98
  5. Step 5: Solve for x
    x = 73,912,689,410.98/304,796.73
  6. Step 6: Final answer
    x = 242,498.30

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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.