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Finding the Fourth Proportional to 333,714.87, 499,989.11 and 277,913.97

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Solution

The fourth proportional to 333,714.87, 499,989.11 and 277,913.97 is: 416,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,714.87 : 499,989.11 = 277,913.97 : x
  2. Step 2: Convert to fraction form
    333,714.87/499,989.11 = 277,913.97/x
  3. Step 3: Cross multiply
    333,714.87x = 499,989.11 × 277,913.97
  4. Step 4: Simplify right side
    333,714.87x = 138,953,957,127.30
  5. Step 5: Solve for x
    x = 138,953,957,127.30/333,714.87
  6. Step 6: Final answer
    x = 416,385.27

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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.