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Finding the Fourth Proportional to 463,205.89, 694,864.88 and 163,625.16

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Solution

The fourth proportional to 463,205.89, 694,864.88 and 163,625.16 is: 245,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.89 : 694,864.88 = 163,625.16 : x
  2. Step 2: Convert to fraction form
    463,205.89/694,864.88 = 163,625.16/x
  3. Step 3: Cross multiply
    463,205.89x = 694,864.88 × 163,625.16
  4. Step 4: Simplify right side
    463,205.89x = 113,697,379,569.59
  5. Step 5: Solve for x
    x = 113,697,379,569.59/463,205.89
  6. Step 6: Final answer
    x = 245,457.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.