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Finding the Fourth Proportional to 513,901.80, 770,852.70 and 419,423.40

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Solution

The fourth proportional to 513,901.80, 770,852.70 and 419,423.40 is: 629,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,901.80 : 770,852.70 = 419,423.40 : x
  2. Step 2: Convert to fraction form
    513,901.80/770,852.70 = 419,423.40/x
  3. Step 3: Cross multiply
    513,901.80x = 770,852.70 × 419,423.40
  4. Step 4: Simplify right side
    513,901.80x = 323,313,660,333.18
  5. Step 5: Solve for x
    x = 323,313,660,333.18/513,901.80
  6. Step 6: Final answer
    x = 629,135.10

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Similar ratio
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1.5x scale

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.