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Finding the Fourth Proportional to 463,082.82, 639,153.54 and 301,649.82

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Solution

The fourth proportional to 463,082.82, 639,153.54 and 301,649.82 is: 416,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,082.82 : 639,153.54 = 301,649.82 : x
  2. Step 2: Convert to fraction form
    463,082.82/639,153.54 = 301,649.82/x
  3. Step 3: Cross multiply
    463,082.82x = 639,153.54 × 301,649.82
  4. Step 4: Simplify right side
    463,082.82x = 192,800,550,293.36
  5. Step 5: Solve for x
    x = 192,800,550,293.36/463,082.82
  6. Step 6: Final answer
    x = 416,341.40

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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.