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Finding the Fourth Proportional to 733,671.26, 1,012,465.41 and 407,033.81

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Solution

The fourth proportional to 733,671.26, 1,012,465.41 and 407,033.81 is: 561,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,671.26 : 1,012,465.41 = 407,033.81 : x
  2. Step 2: Convert to fraction form
    733,671.26/1,012,465.41 = 407,033.81/x
  3. Step 3: Cross multiply
    733,671.26x = 1,012,465.41 × 407,033.81
  4. Step 4: Simplify right side
    733,671.26x = 412,107,648,796.12
  5. Step 5: Solve for x
    x = 412,107,648,796.12/733,671.26
  6. Step 6: Final answer
    x = 561,706.13

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