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Finding the Fourth Proportional to 462,455.42, 638,175.05 and 258,506.73

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Solution

The fourth proportional to 462,455.42, 638,175.05 and 258,506.73 is: 356,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,455.42 : 638,175.05 = 258,506.73 : x
  2. Step 2: Convert to fraction form
    462,455.42/638,175.05 = 258,506.73/x
  3. Step 3: Cross multiply
    462,455.42x = 638,175.05 × 258,506.73
  4. Step 4: Simplify right side
    462,455.42x = 164,972,544,050.55
  5. Step 5: Solve for x
    x = 164,972,544,050.55/462,455.42
  6. Step 6: Final answer
    x = 356,731.78

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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.