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Finding the Fourth Proportional to 412,795.71, 619,250.94 and 146,492.96

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Solution

The fourth proportional to 412,795.71, 619,250.94 and 146,492.96 is: 219,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,795.71 : 619,250.94 = 146,492.96 : x
  2. Step 2: Convert to fraction form
    412,795.71/619,250.94 = 146,492.96/x
  3. Step 3: Cross multiply
    412,795.71x = 619,250.94 × 146,492.96
  4. Step 4: Simplify right side
    412,795.71x = 90,715,900,087.13
  5. Step 5: Solve for x
    x = 90,715,900,087.13/412,795.71
  6. Step 6: Final answer
    x = 219,759.79

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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.