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Finding the Fourth Proportional to 476,757.60, 714,976.08 and 192,374.64

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Solution

The fourth proportional to 476,757.60, 714,976.08 and 192,374.64 is: 288,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,757.60 : 714,976.08 = 192,374.64 : x
  2. Step 2: Convert to fraction form
    476,757.60/714,976.08 = 192,374.64/x
  3. Step 3: Cross multiply
    476,757.60x = 714,976.08 × 192,374.64
  4. Step 4: Simplify right side
    476,757.60x = 137,543,265,998.61
  5. Step 5: Solve for x
    x = 137,543,265,998.61/476,757.60
  6. Step 6: Final answer
    x = 288,497.27

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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.