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Finding the Fourth Proportional to 307,835.40, 461,753.10 and 276,342.60

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Solution

The fourth proportional to 307,835.40, 461,753.10 and 276,342.60 is: 414,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,835.40 : 461,753.10 = 276,342.60 : x
  2. Step 2: Convert to fraction form
    307,835.40/461,753.10 = 276,342.60/x
  3. Step 3: Cross multiply
    307,835.40x = 461,753.10 × 276,342.60
  4. Step 4: Simplify right side
    307,835.40x = 127,602,052,212.06
  5. Step 5: Solve for x
    x = 127,602,052,212.06/307,835.40
  6. Step 6: Final answer
    x = 414,513.90

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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.