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Finding the Fourth Proportional to 600,243.26, 828,362.23 and 345,676.46

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Solution

The fourth proportional to 600,243.26, 828,362.23 and 345,676.46 is: 477,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,243.26 : 828,362.23 = 345,676.46 : x
  2. Step 2: Convert to fraction form
    600,243.26/828,362.23 = 345,676.46/x
  3. Step 3: Cross multiply
    600,243.26x = 828,362.23 × 345,676.46
  4. Step 4: Simplify right side
    600,243.26x = 286,345,318,258.10
  5. Step 5: Solve for x
    x = 286,345,318,258.10/600,243.26
  6. Step 6: Final answer
    x = 477,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.