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Finding the Fourth Proportional to 557,135.80, 834,321.30 and 446,543.80

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Solution

The fourth proportional to 557,135.80, 834,321.30 and 446,543.80 is: 668,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,135.80 : 834,321.30 = 446,543.80 : x
  2. Step 2: Convert to fraction form
    557,135.80/834,321.30 = 446,543.80/x
  3. Step 3: Cross multiply
    557,135.80x = 834,321.30 × 446,543.80
  4. Step 4: Simplify right side
    557,135.80x = 372,561,003,722.94
  5. Step 5: Solve for x
    x = 372,561,003,722.94/557,135.80
  6. Step 6: Final answer
    x = 668,707.71

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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.