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Finding the Fourth Proportional to 475,988.43, 714,682.50 and 196,052.43

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Solution

The fourth proportional to 475,988.43, 714,682.50 and 196,052.43 is: 294,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,988.43 : 714,682.50 = 196,052.43 : x
  2. Step 2: Convert to fraction form
    475,988.43/714,682.50 = 196,052.43/x
  3. Step 3: Cross multiply
    475,988.43x = 714,682.50 × 196,052.43
  4. Step 4: Simplify right side
    475,988.43x = 140,115,240,803.48
  5. Step 5: Solve for x
    x = 140,115,240,803.48/475,988.43
  6. Step 6: Final answer
    x = 294,366.90

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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.