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Finding the Fourth Proportional to 285,872.67, 428,748.84 and 184,366.71

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Solution

The fourth proportional to 285,872.67, 428,748.84 and 184,366.71 is: 276,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872.67 : 428,748.84 = 184,366.71 : x
  2. Step 2: Convert to fraction form
    285,872.67/428,748.84 = 184,366.71/x
  3. Step 3: Cross multiply
    285,872.67x = 428,748.84 × 184,366.71
  4. Step 4: Simplify right side
    285,872.67x = 79,047,013,047.12
  5. Step 5: Solve for x
    x = 79,047,013,047.12/285,872.67
  6. Step 6: Final answer
    x = 276,511.26

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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.