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Finding the Fourth Proportional to 703,993.68, 971,645.22 and 417,671.64

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Solution

The fourth proportional to 703,993.68, 971,645.22 and 417,671.64 is: 576,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,993.68 : 971,645.22 = 417,671.64 : x
  2. Step 2: Convert to fraction form
    703,993.68/971,645.22 = 417,671.64/x
  3. Step 3: Cross multiply
    703,993.68x = 971,645.22 × 417,671.64
  4. Step 4: Simplify right side
    703,993.68x = 405,828,652,535.56
  5. Step 5: Solve for x
    x = 405,828,652,535.56/703,993.68
  6. Step 6: Final answer
    x = 576,466.33

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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.