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Finding the Fourth Proportional to 463,314.78, 639,339.08 and 259,318.98

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Solution

The fourth proportional to 463,314.78, 639,339.08 and 259,318.98 is: 357,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,314.78 : 639,339.08 = 259,318.98 : x
  2. Step 2: Convert to fraction form
    463,314.78/639,339.08 = 259,318.98/x
  3. Step 3: Cross multiply
    463,314.78x = 639,339.08 × 259,318.98
  4. Step 4: Simplify right side
    463,314.78x = 165,792,756,803.14
  5. Step 5: Solve for x
    x = 165,792,756,803.14/463,314.78
  6. Step 6: Final answer
    x = 357,840.42

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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.