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Finding the Fourth Proportional to 412,996.08, 619,558.92 and 176,340

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Solution

The fourth proportional to 412,996.08, 619,558.92 and 176,340 is: 264,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,996.08 : 619,558.92 = 176,340 : x
  2. Step 2: Convert to fraction form
    412,996.08/619,558.92 = 176,340/x
  3. Step 3: Cross multiply
    412,996.08x = 619,558.92 × 176,340
  4. Step 4: Simplify right side
    412,996.08x = 109,253,019,952.80
  5. Step 5: Solve for x
    x = 109,253,019,952.80/412,996.08
  6. Step 6: Final answer
    x = 264,537.67

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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.