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Finding the Fourth Proportional to 466,166.97, 643,305.74 and 259,431.90

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Solution

The fourth proportional to 466,166.97, 643,305.74 and 259,431.90 is: 358,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,166.97 : 643,305.74 = 259,431.90 : x
  2. Step 2: Convert to fraction form
    466,166.97/643,305.74 = 259,431.90/x
  3. Step 3: Cross multiply
    466,166.97x = 643,305.74 × 259,431.90
  4. Step 4: Simplify right side
    466,166.97x = 166,894,029,111.95
  5. Step 5: Solve for x
    x = 166,894,029,111.95/466,166.97
  6. Step 6: Final answer
    x = 358,013.42

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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.