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Finding the Fourth Proportional to 463,085.88, 694,711.44 and 163,740.26

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Solution

The fourth proportional to 463,085.88, 694,711.44 and 163,740.26 is: 245,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,085.88 : 694,711.44 = 163,740.26 : x
  2. Step 2: Convert to fraction form
    463,085.88/694,711.44 = 163,740.26/x
  3. Step 3: Cross multiply
    463,085.88x = 694,711.44 × 163,740.26
  4. Step 4: Simplify right side
    463,085.88x = 113,752,231,810.57
  5. Step 5: Solve for x
    x = 113,752,231,810.57/463,085.88
  6. Step 6: Final answer
    x = 245,639.60

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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.