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Finding the Fourth Proportional to 451,659.96, 677,752.38 and 202,341.96

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Solution

The fourth proportional to 451,659.96, 677,752.38 and 202,341.96 is: 303,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,659.96 : 677,752.38 = 202,341.96 : x
  2. Step 2: Convert to fraction form
    451,659.96/677,752.38 = 202,341.96/x
  3. Step 3: Cross multiply
    451,659.96x = 677,752.38 × 202,341.96
  4. Step 4: Simplify right side
    451,659.96x = 137,137,744,963.87
  5. Step 5: Solve for x
    x = 137,137,744,963.87/451,659.96
  6. Step 6: Final answer
    x = 303,630.51

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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.