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Finding the Fourth Proportional to 459,450.33, 689,249.07 and 160,016.01

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Solution

The fourth proportional to 459,450.33, 689,249.07 and 160,016.01 is: 240,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,450.33 : 689,249.07 = 160,016.01 : x
  2. Step 2: Convert to fraction form
    459,450.33/689,249.07 = 160,016.01/x
  3. Step 3: Cross multiply
    459,450.33x = 689,249.07 × 160,016.01
  4. Step 4: Simplify right side
    459,450.33x = 110,290,886,077.61
  5. Step 5: Solve for x
    x = 110,290,886,077.61/459,450.33
  6. Step 6: Final answer
    x = 240,049.64

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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.