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Finding the Fourth Proportional to 513,007.80, 769,511.70 and 345,046.20

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Solution

The fourth proportional to 513,007.80, 769,511.70 and 345,046.20 is: 517,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,007.80 : 769,511.70 = 345,046.20 : x
  2. Step 2: Convert to fraction form
    513,007.80/769,511.70 = 345,046.20/x
  3. Step 3: Cross multiply
    513,007.80x = 769,511.70 × 345,046.20
  4. Step 4: Simplify right side
    513,007.80x = 265,517,087,940.54
  5. Step 5: Solve for x
    x = 265,517,087,940.54/513,007.80
  6. Step 6: Final answer
    x = 517,569.30

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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.