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Finding the Fourth Proportional to 447,770.72, 617,967.24 and 334,396.64

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Solution

The fourth proportional to 447,770.72, 617,967.24 and 334,396.64 is: 461,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,770.72 : 617,967.24 = 334,396.64 : x
  2. Step 2: Convert to fraction form
    447,770.72/617,967.24 = 334,396.64/x
  3. Step 3: Cross multiply
    447,770.72x = 617,967.24 × 334,396.64
  4. Step 4: Simplify right side
    447,770.72x = 206,646,168,686.07
  5. Step 5: Solve for x
    x = 206,646,168,686.07/447,770.72
  6. Step 6: Final answer
    x = 461,499.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.