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Finding the Fourth Proportional to 1,212,821.80, 1,819,232.70 and 413,983.60

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Solution

The fourth proportional to 1,212,821.80, 1,819,232.70 and 413,983.60 is: 620,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,821.80 : 1,819,232.70 = 413,983.60 : x
  2. Step 2: Convert to fraction form
    1,212,821.80/1,819,232.70 = 413,983.60/x
  3. Step 3: Cross multiply
    1,212,821.80x = 1,819,232.70 × 413,983.60
  4. Step 4: Simplify right side
    1,212,821.80x = 753,132,502,383.72
  5. Step 5: Solve for x
    x = 753,132,502,383.72/1,212,821.80
  6. Step 6: Final answer
    x = 620,975.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.