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Finding the Fourth Proportional to 274,034.32, 410,017.90 and 161,775.60

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Solution

The fourth proportional to 274,034.32, 410,017.90 and 161,775.60 is: 242,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,034.32 : 410,017.90 = 161,775.60 : x
  2. Step 2: Convert to fraction form
    274,034.32/410,017.90 = 161,775.60/x
  3. Step 3: Cross multiply
    274,034.32x = 410,017.90 × 161,775.60
  4. Step 4: Simplify right side
    274,034.32x = 66,330,891,783.24
  5. Step 5: Solve for x
    x = 66,330,891,783.24/274,034.32
  6. Step 6: Final answer
    x = 242,053.23

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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.