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Finding the Fourth Proportional to 513,857.40, 770,786.10 and 492,862.20

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Solution

The fourth proportional to 513,857.40, 770,786.10 and 492,862.20 is: 739,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,857.40 : 770,786.10 = 492,862.20 : x
  2. Step 2: Convert to fraction form
    513,857.40/770,786.10 = 492,862.20/x
  3. Step 3: Cross multiply
    513,857.40x = 770,786.10 × 492,862.20
  4. Step 4: Simplify right side
    513,857.40x = 379,891,332,975.42
  5. Step 5: Solve for x
    x = 379,891,332,975.42/513,857.40
  6. Step 6: Final answer
    x = 739,293.30

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Double scale
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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.