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Finding the Fourth Proportional to 323,714.65, 447,008.29 and 203,063.33

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Solution

The fourth proportional to 323,714.65, 447,008.29 and 203,063.33 is: 280,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,714.65 : 447,008.29 = 203,063.33 : x
  2. Step 2: Convert to fraction form
    323,714.65/447,008.29 = 203,063.33/x
  3. Step 3: Cross multiply
    323,714.65x = 447,008.29 × 203,063.33
  4. Step 4: Simplify right side
    323,714.65x = 90,770,989,162.31
  5. Step 5: Solve for x
    x = 90,770,989,162.31/323,714.65
  6. Step 6: Final answer
    x = 280,404.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.