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Finding the Fourth Proportional to 1,977,713, 2,966,420.46 and 629,821.16

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Solution

The fourth proportional to 1,977,713, 2,966,420.46 and 629,821.16 is: 944,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,713 : 2,966,420.46 = 629,821.16 : x
  2. Step 2: Convert to fraction form
    1,977,713/2,966,420.46 = 629,821.16/x
  3. Step 3: Cross multiply
    1,977,713x = 2,966,420.46 × 629,821.16
  4. Step 4: Simplify right side
    1,977,713x = 1,868,314,375,164.93
  5. Step 5: Solve for x
    x = 1,868,314,375,164.93/1,977,713
  6. Step 6: Final answer
    x = 944,684.28

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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.