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Finding the Fourth Proportional to 463,205.48, 639,077.84 and 259,223.99

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Solution

The fourth proportional to 463,205.48, 639,077.84 and 259,223.99 is: 357,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.48 : 639,077.84 = 259,223.99 : x
  2. Step 2: Convert to fraction form
    463,205.48/639,077.84 = 259,223.99/x
  3. Step 3: Cross multiply
    463,205.48x = 639,077.84 × 259,223.99
  4. Step 4: Simplify right side
    463,205.48x = 165,664,307,605.38
  5. Step 5: Solve for x
    x = 165,664,307,605.38/463,205.48
  6. Step 6: Final answer
    x = 357,647.56

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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.