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Finding the Fourth Proportional to 459,846.56, 689,852.24 and 189,974.68

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Solution

The fourth proportional to 459,846.56, 689,852.24 and 189,974.68 is: 284,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,846.56 : 689,852.24 = 189,974.68 : x
  2. Step 2: Convert to fraction form
    459,846.56/689,852.24 = 189,974.68/x
  3. Step 3: Cross multiply
    459,846.56x = 689,852.24 × 189,974.68
  4. Step 4: Simplify right side
    459,846.56x = 131,054,458,541.28
  5. Step 5: Solve for x
    x = 131,054,458,541.28/459,846.56
  6. Step 6: Final answer
    x = 284,996.06

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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.