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Finding the Fourth Proportional to 462,376.76, 638,067.38 and 258,429.29

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Solution

The fourth proportional to 462,376.76, 638,067.38 and 258,429.29 is: 356,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,376.76 : 638,067.38 = 258,429.29 : x
  2. Step 2: Convert to fraction form
    462,376.76/638,067.38 = 258,429.29/x
  3. Step 3: Cross multiply
    462,376.76x = 638,067.38 × 258,429.29
  4. Step 4: Simplify right side
    462,376.76x = 164,895,295,503.08
  5. Step 5: Solve for x
    x = 164,895,295,503.08/462,376.76
  6. Step 6: Final answer
    x = 356,625.40

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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.