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Finding the Fourth Proportional to 411,624.82, 617,082.33 and 159,082.52

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Solution

The fourth proportional to 411,624.82, 617,082.33 and 159,082.52 is: 238,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,624.82 : 617,082.33 = 159,082.52 : x
  2. Step 2: Convert to fraction form
    411,624.82/617,082.33 = 159,082.52/x
  3. Step 3: Cross multiply
    411,624.82x = 617,082.33 × 159,082.52
  4. Step 4: Simplify right side
    411,624.82x = 98,167,009,615.02
  5. Step 5: Solve for x
    x = 98,167,009,615.02/411,624.82
  6. Step 6: Final answer
    x = 238,486.61

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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.