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Finding the Fourth Proportional to 298,994.36, 412,659.53 and 178,205.70

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Solution

The fourth proportional to 298,994.36, 412,659.53 and 178,205.70 is: 245,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,994.36 : 412,659.53 = 178,205.70 : x
  2. Step 2: Convert to fraction form
    298,994.36/412,659.53 = 178,205.70/x
  3. Step 3: Cross multiply
    298,994.36x = 412,659.53 × 178,205.70
  4. Step 4: Simplify right side
    298,994.36x = 73,538,281,730.04
  5. Step 5: Solve for x
    x = 73,538,281,730.04/298,994.36
  6. Step 6: Final answer
    x = 245,952.07

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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.