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Finding the Fourth Proportional to 463,404, 639,507.24 and 262,200

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Solution

The fourth proportional to 463,404, 639,507.24 and 262,200 is: 361,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,404 : 639,507.24 = 262,200 : x
  2. Step 2: Convert to fraction form
    463,404/639,507.24 = 262,200/x
  3. Step 3: Cross multiply
    463,404x = 639,507.24 × 262,200
  4. Step 4: Simplify right side
    463,404x = 167,678,798,328
  5. Step 5: Solve for x
    x = 167,678,798,328/463,404
  6. Step 6: Final answer
    x = 361,841.50

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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.