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Finding the Fourth Proportional to 288,446.34, 432,824.44 and 120,082.89

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Solution

The fourth proportional to 288,446.34, 432,824.44 and 120,082.89 is: 180,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,446.34 : 432,824.44 = 120,082.89 : x
  2. Step 2: Convert to fraction form
    288,446.34/432,824.44 = 120,082.89/x
  3. Step 3: Cross multiply
    288,446.34x = 432,824.44 × 120,082.89
  4. Step 4: Simplify right side
    288,446.34x = 51,974,809,617.83
  5. Step 5: Solve for x
    x = 51,974,809,617.83/288,446.34
  6. Step 6: Final answer
    x = 180,188.83

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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.