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Finding the Fourth Proportional to 463,469.70, 639,648.54 and 259,598.52

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Solution

The fourth proportional to 463,469.70, 639,648.54 and 259,598.52 is: 358,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,469.70 : 639,648.54 = 259,598.52 : x
  2. Step 2: Convert to fraction form
    463,469.70/639,648.54 = 259,598.52/x
  3. Step 3: Cross multiply
    463,469.70x = 639,648.54 × 259,598.52
  4. Step 4: Simplify right side
    463,469.70x = 166,051,814,304.16
  5. Step 5: Solve for x
    x = 166,051,814,304.16/463,469.70
  6. Step 6: Final answer
    x = 358,279.76

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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.