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Finding the Fourth Proportional to 324,145.86, 447,343.74 and 180,933.81

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Solution

The fourth proportional to 324,145.86, 447,343.74 and 180,933.81 is: 249,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,145.86 : 447,343.74 = 180,933.81 : x
  2. Step 2: Convert to fraction form
    324,145.86/447,343.74 = 180,933.81/x
  3. Step 3: Cross multiply
    324,145.86x = 447,343.74 × 180,933.81
  4. Step 4: Simplify right side
    324,145.86x = 80,939,607,257.85
  5. Step 5: Solve for x
    x = 80,939,607,257.85/324,145.86
  6. Step 6: Final answer
    x = 249,701.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.