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Finding the Fourth Proportional to 2,810,718, 4,216,193.64 and 816,174

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Solution

The fourth proportional to 2,810,718, 4,216,193.64 and 816,174 is: 1,224,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,718 : 4,216,193.64 = 816,174 : x
  2. Step 2: Convert to fraction form
    2,810,718/4,216,193.64 = 816,174/x
  3. Step 3: Cross multiply
    2,810,718x = 4,216,193.64 × 816,174
  4. Step 4: Simplify right side
    2,810,718x = 3,441,147,627,933.36
  5. Step 5: Solve for x
    x = 3,441,147,627,933.36/2,810,718
  6. Step 6: Final answer
    x = 1,224,294.87

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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.