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Finding the Fourth Proportional to 413,628.20, 620,442.30 and 203,676.20

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Solution

The fourth proportional to 413,628.20, 620,442.30 and 203,676.20 is: 305,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,628.20 : 620,442.30 = 203,676.20 : x
  2. Step 2: Convert to fraction form
    413,628.20/620,442.30 = 203,676.20/x
  3. Step 3: Cross multiply
    413,628.20x = 620,442.30 × 203,676.20
  4. Step 4: Simplify right side
    413,628.20x = 126,369,329,983.26
  5. Step 5: Solve for x
    x = 126,369,329,983.26/413,628.20
  6. Step 6: Final answer
    x = 305,514.30

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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.