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Finding the Fourth Proportional to 476,520.96, 714,622.86 and 192,138.06

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Solution

The fourth proportional to 476,520.96, 714,622.86 and 192,138.06 is: 288,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,520.96 : 714,622.86 = 192,138.06 : x
  2. Step 2: Convert to fraction form
    476,520.96/714,622.86 = 192,138.06/x
  3. Step 3: Cross multiply
    476,520.96x = 714,622.86 × 192,138.06
  4. Step 4: Simplify right side
    476,520.96x = 137,306,250,672.57
  5. Step 5: Solve for x
    x = 137,306,250,672.57/476,520.96
  6. Step 6: Final answer
    x = 288,143.15

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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.