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Finding the Fourth Proportional to 476,571.60, 714,964.32 and 220,274.64

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Solution

The fourth proportional to 476,571.60, 714,964.32 and 220,274.64 is: 330,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,571.60 : 714,964.32 = 220,274.64 : x
  2. Step 2: Convert to fraction form
    476,571.60/714,964.32 = 220,274.64/x
  3. Step 3: Cross multiply
    476,571.60x = 714,964.32 × 220,274.64
  4. Step 4: Simplify right side
    476,571.60x = 157,488,508,200.85
  5. Step 5: Solve for x
    x = 157,488,508,200.85/476,571.60
  6. Step 6: Final answer
    x = 330,461.38

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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.