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Finding the Fourth Proportional to 407,714.55, 611,301.88 and 194,515.37

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Solution

The fourth proportional to 407,714.55, 611,301.88 and 194,515.37 is: 291,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.55 : 611,301.88 = 194,515.37 : x
  2. Step 2: Convert to fraction form
    407,714.55/611,301.88 = 194,515.37/x
  3. Step 3: Cross multiply
    407,714.55x = 611,301.88 × 194,515.37
  4. Step 4: Simplify right side
    407,714.55x = 118,907,611,369.90
  5. Step 5: Solve for x
    x = 118,907,611,369.90/407,714.55
  6. Step 6: Final answer
    x = 291,644.27

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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.