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Finding the Fourth Proportional to 827,386, 1,241,150.48 and 228,347.26

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Solution

The fourth proportional to 827,386, 1,241,150.48 and 228,347.26 is: 342,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,386 : 1,241,150.48 = 228,347.26 : x
  2. Step 2: Convert to fraction form
    827,386/1,241,150.48 = 228,347.26/x
  3. Step 3: Cross multiply
    827,386x = 1,241,150.48 × 228,347.26
  4. Step 4: Simplify right side
    827,386x = 283,413,311,355.69
  5. Step 5: Solve for x
    x = 283,413,311,355.69/827,386
  6. Step 6: Final answer
    x = 342,540.62

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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.