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Finding the Fourth Proportional to 289,783.37, 434,625.84 and 76,553.60

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Solution

The fourth proportional to 289,783.37, 434,625.84 and 76,553.60 is: 114,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,783.37 : 434,625.84 = 76,553.60 : x
  2. Step 2: Convert to fraction form
    289,783.37/434,625.84 = 76,553.60/x
  3. Step 3: Cross multiply
    289,783.37x = 434,625.84 × 76,553.60
  4. Step 4: Simplify right side
    289,783.37x = 33,272,172,705.02
  5. Step 5: Solve for x
    x = 33,272,172,705.02/289,783.37
  6. Step 6: Final answer
    x = 114,817.40

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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.