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Finding the Fourth Proportional to 756,361.65, 1,043,765.10 and 412,200.39

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Solution

The fourth proportional to 756,361.65, 1,043,765.10 and 412,200.39 is: 568,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,361.65 : 1,043,765.10 = 412,200.39 : x
  2. Step 2: Convert to fraction form
    756,361.65/1,043,765.10 = 412,200.39/x
  3. Step 3: Cross multiply
    756,361.65x = 1,043,765.10 × 412,200.39
  4. Step 4: Simplify right side
    756,361.65x = 430,240,381,288.39
  5. Step 5: Solve for x
    x = 430,240,381,288.39/756,361.65
  6. Step 6: Final answer
    x = 568,828.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.