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Finding the Fourth Proportional to 340,290.20, 509,657.70 and 200,322.20

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Solution

The fourth proportional to 340,290.20, 509,657.70 and 200,322.20 is: 300,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,290.20 : 509,657.70 = 200,322.20 : x
  2. Step 2: Convert to fraction form
    340,290.20/509,657.70 = 200,322.20/x
  3. Step 3: Cross multiply
    340,290.20x = 509,657.70 × 200,322.20
  4. Step 4: Simplify right side
    340,290.20x = 102,095,751,710.94
  5. Step 5: Solve for x
    x = 102,095,751,710.94/340,290.20
  6. Step 6: Final answer
    x = 300,025.54

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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.