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Finding the Fourth Proportional to 292,628.40, 438,942.60 and 82,266.34

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Solution

The fourth proportional to 292,628.40, 438,942.60 and 82,266.34 is: 123,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,628.40 : 438,942.60 = 82,266.34 : x
  2. Step 2: Convert to fraction form
    292,628.40/438,942.60 = 82,266.34/x
  3. Step 3: Cross multiply
    292,628.40x = 438,942.60 × 82,266.34
  4. Step 4: Simplify right side
    292,628.40x = 36,110,201,172.08
  5. Step 5: Solve for x
    x = 36,110,201,172.08/292,628.40
  6. Step 6: Final answer
    x = 123,399.51

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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.