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Finding the Fourth Proportional to 462,420.36, 638,138.25 and 258,471.07

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Solution

The fourth proportional to 462,420.36, 638,138.25 and 258,471.07 is: 356,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,420.36 : 638,138.25 = 258,471.07 : x
  2. Step 2: Convert to fraction form
    462,420.36/638,138.25 = 258,471.07/x
  3. Step 3: Cross multiply
    462,420.36x = 638,138.25 × 258,471.07
  4. Step 4: Simplify right side
    462,420.36x = 164,940,274,690.08
  5. Step 5: Solve for x
    x = 164,940,274,690.08/462,420.36
  6. Step 6: Final answer
    x = 356,689.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.