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Finding the Fourth Proportional to 476,995.47, 715,821.25 and 196,512.72

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Solution

The fourth proportional to 476,995.47, 715,821.25 and 196,512.72 is: 294,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,995.47 : 715,821.25 = 196,512.72 : x
  2. Step 2: Convert to fraction form
    476,995.47/715,821.25 = 196,512.72/x
  3. Step 3: Cross multiply
    476,995.47x = 715,821.25 × 196,512.72
  4. Step 4: Simplify right side
    476,995.47x = 140,667,980,713.45
  5. Step 5: Solve for x
    x = 140,667,980,713.45/476,995.47
  6. Step 6: Final answer
    x = 294,904.23

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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.