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Finding the Fourth Proportional to 321,929.34, 482,262.68 and 186,709.34

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Solution

The fourth proportional to 321,929.34, 482,262.68 and 186,709.34 is: 279,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,929.34 : 482,262.68 = 186,709.34 : x
  2. Step 2: Convert to fraction form
    321,929.34/482,262.68 = 186,709.34/x
  3. Step 3: Cross multiply
    321,929.34x = 482,262.68 × 186,709.34
  4. Step 4: Simplify right side
    321,929.34x = 90,042,946,689.43
  5. Step 5: Solve for x
    x = 90,042,946,689.43/321,929.34
  6. Step 6: Final answer
    x = 279,697.86

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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.