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Finding the Fourth Proportional to 462,906.63, 638,835.22 and 258,960.95

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Solution

The fourth proportional to 462,906.63, 638,835.22 and 258,960.95 is: 357,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,906.63 : 638,835.22 = 258,960.95 : x
  2. Step 2: Convert to fraction form
    462,906.63/638,835.22 = 258,960.95/x
  3. Step 3: Cross multiply
    462,906.63x = 638,835.22 × 258,960.95
  4. Step 4: Simplify right side
    462,906.63x = 165,433,374,989.82
  5. Step 5: Solve for x
    x = 165,433,374,989.82/462,906.63
  6. Step 6: Final answer
    x = 357,379.58

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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.