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Finding the Fourth Proportional to 463,205.13, 694,863.73 and 163,624.40

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Solution

The fourth proportional to 463,205.13, 694,863.73 and 163,624.40 is: 245,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.13 : 694,863.73 = 163,624.40 : x
  2. Step 2: Convert to fraction form
    463,205.13/694,863.73 = 163,624.40/x
  3. Step 3: Cross multiply
    463,205.13x = 694,863.73 × 163,624.40
  4. Step 4: Simplify right side
    463,205.13x = 113,696,660,903.01
  5. Step 5: Solve for x
    x = 113,696,660,903.01/463,205.13
  6. Step 6: Final answer
    x = 245,456.40

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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.