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Finding the Fourth Proportional to 665,575.46, 919,251.78 and 447,405.32

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Solution

The fourth proportional to 665,575.46, 919,251.78 and 447,405.32 is: 617,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,575.46 : 919,251.78 = 447,405.32 : x
  2. Step 2: Convert to fraction form
    665,575.46/919,251.78 = 447,405.32/x
  3. Step 3: Cross multiply
    665,575.46x = 919,251.78 × 447,405.32
  4. Step 4: Simplify right side
    665,575.46x = 411,278,136,791.47
  5. Step 5: Solve for x
    x = 411,278,136,791.47/665,575.46
  6. Step 6: Final answer
    x = 617,928.64

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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.