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Finding the Fourth Proportional to 383,082.48, 528,654.60 and 213,322.68

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Solution

The fourth proportional to 383,082.48, 528,654.60 and 213,322.68 is: 294,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,082.48 : 528,654.60 = 213,322.68 : x
  2. Step 2: Convert to fraction form
    383,082.48/528,654.60 = 213,322.68/x
  3. Step 3: Cross multiply
    383,082.48x = 528,654.60 × 213,322.68
  4. Step 4: Simplify right side
    383,082.48x = 112,774,016,066.33
  5. Step 5: Solve for x
    x = 112,774,016,066.33/383,082.48
  6. Step 6: Final answer
    x = 294,385.73

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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.