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Finding the Fourth Proportional to 274,643.40, 411,965.10 and 97,350.60

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Solution

The fourth proportional to 274,643.40, 411,965.10 and 97,350.60 is: 146,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,643.40 : 411,965.10 = 97,350.60 : x
  2. Step 2: Convert to fraction form
    274,643.40/411,965.10 = 97,350.60/x
  3. Step 3: Cross multiply
    274,643.40x = 411,965.10 × 97,350.60
  4. Step 4: Simplify right side
    274,643.40x = 40,105,049,664.06
  5. Step 5: Solve for x
    x = 40,105,049,664.06/274,643.40
  6. Step 6: Final answer
    x = 146,025.90

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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.