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Finding the Fourth Proportional to 298,994.28, 412,594.02 and 171,657.96

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Solution

The fourth proportional to 298,994.28, 412,594.02 and 171,657.96 is: 236,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,994.28 : 412,594.02 = 171,657.96 : x
  2. Step 2: Convert to fraction form
    298,994.28/412,594.02 = 171,657.96/x
  3. Step 3: Cross multiply
    298,994.28x = 412,594.02 × 171,657.96
  4. Step 4: Simplify right side
    298,994.28x = 70,825,047,781.40
  5. Step 5: Solve for x
    x = 70,825,047,781.40/298,994.28
  6. Step 6: Final answer
    x = 236,877.60

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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.