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Finding the Fourth Proportional to 469,011.80, 703,517.70 and 419,148.20

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Solution

The fourth proportional to 469,011.80, 703,517.70 and 419,148.20 is: 628,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,011.80 : 703,517.70 = 419,148.20 : x
  2. Step 2: Convert to fraction form
    469,011.80/703,517.70 = 419,148.20/x
  3. Step 3: Cross multiply
    469,011.80x = 703,517.70 × 419,148.20
  4. Step 4: Simplify right side
    469,011.80x = 294,878,177,623.14
  5. Step 5: Solve for x
    x = 294,878,177,623.14/469,011.80
  6. Step 6: Final answer
    x = 628,722.30

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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.