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Finding the Fourth Proportional to 475,447.02, 712,908.09 and 195,161.10

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Solution

The fourth proportional to 475,447.02, 712,908.09 and 195,161.10 is: 292,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,447.02 : 712,908.09 = 195,161.10 : x
  2. Step 2: Convert to fraction form
    475,447.02/712,908.09 = 195,161.10/x
  3. Step 3: Cross multiply
    475,447.02x = 712,908.09 × 195,161.10
  4. Step 4: Simplify right side
    475,447.02x = 139,131,926,067.49
  5. Step 5: Solve for x
    x = 139,131,926,067.49/475,447.02
  6. Step 6: Final answer
    x = 292,633.92

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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.