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Finding the Fourth Proportional to 289,474.90, 434,601.15 and 184,758.10

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Solution

The fourth proportional to 289,474.90, 434,601.15 and 184,758.10 is: 277,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474.90 : 434,601.15 = 184,758.10 : x
  2. Step 2: Convert to fraction form
    289,474.90/434,601.15 = 184,758.10/x
  3. Step 3: Cross multiply
    289,474.90x = 434,601.15 × 184,758.10
  4. Step 4: Simplify right side
    289,474.90x = 80,296,082,731.82
  5. Step 5: Solve for x
    x = 80,296,082,731.82/289,474.90
  6. Step 6: Final answer
    x = 277,385.30

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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.