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Finding the Fourth Proportional to 314,812.72, 434,456.94 and 177,035.02

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Solution

The fourth proportional to 314,812.72, 434,456.94 and 177,035.02 is: 244,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,812.72 : 434,456.94 = 177,035.02 : x
  2. Step 2: Convert to fraction form
    314,812.72/434,456.94 = 177,035.02/x
  3. Step 3: Cross multiply
    314,812.72x = 434,456.94 × 177,035.02
  4. Step 4: Simplify right side
    314,812.72x = 76,914,093,062.04
  5. Step 5: Solve for x
    x = 76,914,093,062.04/314,812.72
  6. Step 6: Final answer
    x = 244,316.98

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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.