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Finding the Fourth Proportional to 412,285.92, 617,888.16 and 298,814.88

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Solution

The fourth proportional to 412,285.92, 617,888.16 and 298,814.88 is: 447,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,285.92 : 617,888.16 = 298,814.88 : x
  2. Step 2: Convert to fraction form
    412,285.92/617,888.16 = 298,814.88/x
  3. Step 3: Cross multiply
    412,285.92x = 617,888.16 × 298,814.88
  4. Step 4: Simplify right side
    412,285.92x = 184,634,176,383.82
  5. Step 5: Solve for x
    x = 184,634,176,383.82/412,285.92
  6. Step 6: Final answer
    x = 447,830.42

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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.