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Finding the Fourth Proportional to 320,491.05, 480,596.32 and 152,059.42

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Solution

The fourth proportional to 320,491.05, 480,596.32 and 152,059.42 is: 228,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,491.05 : 480,596.32 = 152,059.42 : x
  2. Step 2: Convert to fraction form
    320,491.05/480,596.32 = 152,059.42/x
  3. Step 3: Cross multiply
    320,491.05x = 480,596.32 × 152,059.42
  4. Step 4: Simplify right side
    320,491.05x = 73,079,197,673.33
  5. Step 5: Solve for x
    x = 73,079,197,673.33/320,491.05
  6. Step 6: Final answer
    x = 228,022.58

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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.