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Finding the Fourth Proportional to 496,901.82, 743,953.05 and 446,513.34

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Solution

The fourth proportional to 496,901.82, 743,953.05 and 446,513.34 is: 668,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,901.82 : 743,953.05 = 446,513.34 : x
  2. Step 2: Convert to fraction form
    496,901.82/743,953.05 = 446,513.34/x
  3. Step 3: Cross multiply
    496,901.82x = 743,953.05 × 446,513.34
  4. Step 4: Simplify right side
    496,901.82x = 332,184,961,158.69
  5. Step 5: Solve for x
    x = 332,184,961,158.69/496,901.82
  6. Step 6: Final answer
    x = 668,512.26

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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.