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Finding the Fourth Proportional to 467,714.63, 701,596.96 and 147,842.21

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Solution

The fourth proportional to 467,714.63, 701,596.96 and 147,842.21 is: 221,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,714.63 : 701,596.96 = 147,842.21 : x
  2. Step 2: Convert to fraction form
    467,714.63/701,596.96 = 147,842.21/x
  3. Step 3: Cross multiply
    467,714.63x = 701,596.96 × 147,842.21
  4. Step 4: Simplify right side
    467,714.63x = 103,725,645,095.68
  5. Step 5: Solve for x
    x = 103,725,645,095.68/467,714.63
  6. Step 6: Final answer
    x = 221,771.22

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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.