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Finding the Fourth Proportional to 306,683.48, 459,893.96 and 106,944.76

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Solution

The fourth proportional to 306,683.48, 459,893.96 and 106,944.76 is: 160,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,683.48 : 459,893.96 = 106,944.76 : x
  2. Step 2: Convert to fraction form
    306,683.48/459,893.96 = 106,944.76/x
  3. Step 3: Cross multiply
    306,683.48x = 459,893.96 × 106,944.76
  4. Step 4: Simplify right side
    306,683.48x = 49,183,249,177.65
  5. Step 5: Solve for x
    x = 49,183,249,177.65/306,683.48
  6. Step 6: Final answer
    x = 160,371.37

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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.