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Finding the Fourth Proportional to 296,257.08, 444,431.70 and 99,219

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Solution

The fourth proportional to 296,257.08, 444,431.70 and 99,219 is: 148,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,257.08 : 444,431.70 = 99,219 : x
  2. Step 2: Convert to fraction form
    296,257.08/444,431.70 = 99,219/x
  3. Step 3: Cross multiply
    296,257.08x = 444,431.70 × 99,219
  4. Step 4: Simplify right side
    296,257.08x = 44,096,068,842.30
  5. Step 5: Solve for x
    x = 44,096,068,842.30/296,257.08
  6. Step 6: Final answer
    x = 148,843.93

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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.