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Finding the Fourth Proportional to 459,709.44, 689,429.44 and 179,159.68

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Solution

The fourth proportional to 459,709.44, 689,429.44 and 179,159.68 is: 268,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,709.44 : 689,429.44 = 179,159.68 : x
  2. Step 2: Convert to fraction form
    459,709.44/689,429.44 = 179,159.68/x
  3. Step 3: Cross multiply
    459,709.44x = 689,429.44 × 179,159.68
  4. Step 4: Simplify right side
    459,709.44x = 123,517,957,852.98
  5. Step 5: Solve for x
    x = 123,517,957,852.98/459,709.44
  6. Step 6: Final answer
    x = 268,687.02

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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.