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Finding the Fourth Proportional to 425,714.20, 638,279.70 and 201,182.20

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Solution

The fourth proportional to 425,714.20, 638,279.70 and 201,182.20 is: 301,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,714.20 : 638,279.70 = 201,182.20 : x
  2. Step 2: Convert to fraction form
    425,714.20/638,279.70 = 201,182.20/x
  3. Step 3: Cross multiply
    425,714.20x = 638,279.70 × 201,182.20
  4. Step 4: Simplify right side
    425,714.20x = 128,410,514,261.34
  5. Step 5: Solve for x
    x = 128,410,514,261.34/425,714.20
  6. Step 6: Final answer
    x = 301,635.50

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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.