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Finding the Fourth Proportional to 297,211.45, 410,196.83 and 189,852.99

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Solution

The fourth proportional to 297,211.45, 410,196.83 and 189,852.99 is: 262,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,211.45 : 410,196.83 = 189,852.99 : x
  2. Step 2: Convert to fraction form
    297,211.45/410,196.83 = 189,852.99/x
  3. Step 3: Cross multiply
    297,211.45x = 410,196.83 × 189,852.99
  4. Step 4: Simplify right side
    297,211.45x = 77,877,094,664.02
  5. Step 5: Solve for x
    x = 77,877,094,664.02/297,211.45
  6. Step 6: Final answer
    x = 262,025.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.