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Finding the Fourth Proportional to 314,608.50, 434,084.40 and 183,765.96

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Solution

The fourth proportional to 314,608.50, 434,084.40 and 183,765.96 is: 253,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,608.50 : 434,084.40 = 183,765.96 : x
  2. Step 2: Convert to fraction form
    314,608.50/434,084.40 = 183,765.96/x
  3. Step 3: Cross multiply
    314,608.50x = 434,084.40 × 183,765.96
  4. Step 4: Simplify right side
    314,608.50x = 79,769,936,487.02
  5. Step 5: Solve for x
    x = 79,769,936,487.02/314,608.50
  6. Step 6: Final answer
    x = 253,553.02

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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.