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Finding the Fourth Proportional to 365,942.29, 549,241.47 and 306,343.81

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Solution

The fourth proportional to 365,942.29, 549,241.47 and 306,343.81 is: 459,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,942.29 : 549,241.47 = 306,343.81 : x
  2. Step 2: Convert to fraction form
    365,942.29/549,241.47 = 306,343.81/x
  3. Step 3: Cross multiply
    365,942.29x = 549,241.47 × 306,343.81
  4. Step 4: Simplify right side
    365,942.29x = 168,256,724,529.80
  5. Step 5: Solve for x
    x = 168,256,724,529.80/365,942.29
  6. Step 6: Final answer
    x = 459,790.33

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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.