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Finding the Fourth Proportional to 459,745.32, 689,395.86 and 160,218.84

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Solution

The fourth proportional to 459,745.32, 689,395.86 and 160,218.84 is: 240,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,745.32 : 689,395.86 = 160,218.84 : x
  2. Step 2: Convert to fraction form
    459,745.32/689,395.86 = 160,218.84/x
  3. Step 3: Cross multiply
    459,745.32x = 689,395.86 × 160,218.84
  4. Step 4: Simplify right side
    459,745.32x = 110,454,204,990.00
  5. Step 5: Solve for x
    x = 110,454,204,990.00/459,745.32
  6. Step 6: Final answer
    x = 240,250.85

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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.