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Finding the Fourth Proportional to 483,082.39, 724,715.64 and 194,916.89

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Solution

The fourth proportional to 483,082.39, 724,715.64 and 194,916.89 is: 292,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,082.39 : 724,715.64 = 194,916.89 : x
  2. Step 2: Convert to fraction form
    483,082.39/724,715.64 = 194,916.89/x
  3. Step 3: Cross multiply
    483,082.39x = 724,715.64 × 194,916.89
  4. Step 4: Simplify right side
    483,082.39x = 141,259,317,708.58
  5. Step 5: Solve for x
    x = 141,259,317,708.58/483,082.39
  6. Step 6: Final answer
    x = 292,412.48

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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.