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Finding the Fourth Proportional to 645,872.80, 968,463.60 and 271,472.80

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Solution

The fourth proportional to 645,872.80, 968,463.60 and 271,472.80 is: 407,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,872.80 : 968,463.60 = 271,472.80 : x
  2. Step 2: Convert to fraction form
    645,872.80/968,463.60 = 271,472.80/x
  3. Step 3: Cross multiply
    645,872.80x = 968,463.60 × 271,472.80
  4. Step 4: Simplify right side
    645,872.80x = 262,911,525,190.08
  5. Step 5: Solve for x
    x = 262,911,525,190.08/645,872.80
  6. Step 6: Final answer
    x = 407,063.94

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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.