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Finding the Fourth Proportional to 464,962.46, 641,638.73 and 258,219.88

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Solution

The fourth proportional to 464,962.46, 641,638.73 and 258,219.88 is: 356,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,962.46 : 641,638.73 = 258,219.88 : x
  2. Step 2: Convert to fraction form
    464,962.46/641,638.73 = 258,219.88/x
  3. Step 3: Cross multiply
    464,962.46x = 641,638.73 × 258,219.88
  4. Step 4: Simplify right side
    464,962.46x = 165,683,874,905.41
  5. Step 5: Solve for x
    x = 165,683,874,905.41/464,962.46
  6. Step 6: Final answer
    x = 356,338.18

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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.