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Finding the Fourth Proportional to 598,645.60, 898,093.20 and 199,410.40

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Solution

The fourth proportional to 598,645.60, 898,093.20 and 199,410.40 is: 299,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,645.60 : 898,093.20 = 199,410.40 : x
  2. Step 2: Convert to fraction form
    598,645.60/898,093.20 = 199,410.40/x
  3. Step 3: Cross multiply
    598,645.60x = 898,093.20 × 199,410.40
  4. Step 4: Simplify right side
    598,645.60x = 179,089,124,249.28
  5. Step 5: Solve for x
    x = 179,089,124,249.28/598,645.60
  6. Step 6: Final answer
    x = 299,157.17

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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.