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Finding the Fourth Proportional to 462,508.12, 638,265.94 and 258,570.37

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Solution

The fourth proportional to 462,508.12, 638,265.94 and 258,570.37 is: 356,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,508.12 : 638,265.94 = 258,570.37 : x
  2. Step 2: Convert to fraction form
    462,508.12/638,265.94 = 258,570.37/x
  3. Step 3: Cross multiply
    462,508.12x = 638,265.94 × 258,570.37
  4. Step 4: Simplify right side
    462,508.12x = 165,036,658,022.11
  5. Step 5: Solve for x
    x = 165,036,658,022.11/462,508.12
  6. Step 6: Final answer
    x = 356,829.75

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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.