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Finding the Fourth Proportional to 340,538.20, 510,029.70 and 200,570.20

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Solution

The fourth proportional to 340,538.20, 510,029.70 and 200,570.20 is: 300,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,538.20 : 510,029.70 = 200,570.20 : x
  2. Step 2: Convert to fraction form
    340,538.20/510,029.70 = 200,570.20/x
  3. Step 3: Cross multiply
    340,538.20x = 510,029.70 × 200,570.20
  4. Step 4: Simplify right side
    340,538.20x = 102,296,758,934.94
  5. Step 5: Solve for x
    x = 102,296,758,934.94/340,538.20
  6. Step 6: Final answer
    x = 300,397.31

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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.