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Finding the Fourth Proportional to 463,061.80, 694,592.70 and 163,880.20

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Solution

The fourth proportional to 463,061.80, 694,592.70 and 163,880.20 is: 245,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,061.80 : 694,592.70 = 163,880.20 : x
  2. Step 2: Convert to fraction form
    463,061.80/694,592.70 = 163,880.20/x
  3. Step 3: Cross multiply
    463,061.80x = 694,592.70 × 163,880.20
  4. Step 4: Simplify right side
    463,061.80x = 113,829,990,594.54
  5. Step 5: Solve for x
    x = 113,829,990,594.54/463,061.80
  6. Step 6: Final answer
    x = 245,820.30

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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.