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Finding the Fourth Proportional to 289,770.54, 434,057.48 and 214,975.14

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Solution

The fourth proportional to 289,770.54, 434,057.48 and 214,975.14 is: 322,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,770.54 : 434,057.48 = 214,975.14 : x
  2. Step 2: Convert to fraction form
    289,770.54/434,057.48 = 214,975.14/x
  3. Step 3: Cross multiply
    289,770.54x = 434,057.48 × 214,975.14
  4. Step 4: Simplify right side
    289,770.54x = 93,311,565,360.76
  5. Step 5: Solve for x
    x = 93,311,565,360.76/289,770.54
  6. Step 6: Final answer
    x = 322,018.82

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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.