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Finding the Fourth Proportional to 274,657.40, 411,986.10 and 97,364.60

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Solution

The fourth proportional to 274,657.40, 411,986.10 and 97,364.60 is: 146,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,657.40 : 411,986.10 = 97,364.60 : x
  2. Step 2: Convert to fraction form
    274,657.40/411,986.10 = 97,364.60/x
  3. Step 3: Cross multiply
    274,657.40x = 411,986.10 × 97,364.60
  4. Step 4: Simplify right side
    274,657.40x = 40,112,861,832.06
  5. Step 5: Solve for x
    x = 40,112,861,832.06/274,657.40
  6. Step 6: Final answer
    x = 146,046.90

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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.