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Finding the Fourth Proportional to 409,623.62, 614,714.07 and 251,369.06

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Solution

The fourth proportional to 409,623.62, 614,714.07 and 251,369.06 is: 377,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,623.62 : 614,714.07 = 251,369.06 : x
  2. Step 2: Convert to fraction form
    409,623.62/614,714.07 = 251,369.06/x
  3. Step 3: Cross multiply
    409,623.62x = 614,714.07 × 251,369.06
  4. Step 4: Simplify right side
    409,623.62x = 154,520,097,944.67
  5. Step 5: Solve for x
    x = 154,520,097,944.67/409,623.62
  6. Step 6: Final answer
    x = 377,224.58

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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.