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Finding the Fourth Proportional to 1,210,401.98, 1,815,843.53 and 411,469

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Solution

The fourth proportional to 1,210,401.98, 1,815,843.53 and 411,469 is: 617,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,401.98 : 1,815,843.53 = 411,469 : x
  2. Step 2: Convert to fraction form
    1,210,401.98/1,815,843.53 = 411,469/x
  3. Step 3: Cross multiply
    1,210,401.98x = 1,815,843.53 × 411,469
  4. Step 4: Simplify right side
    1,210,401.98x = 747,163,321,445.57
  5. Step 5: Solve for x
    x = 747,163,321,445.57/1,210,401.98
  6. Step 6: Final answer
    x = 617,285.28

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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.