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Finding the Fourth Proportional to 468,091, 702,165.64 and 187,571.80

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Solution

The fourth proportional to 468,091, 702,165.64 and 187,571.80 is: 281,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,091 : 702,165.64 = 187,571.80 : x
  2. Step 2: Convert to fraction form
    468,091/702,165.64 = 187,571.80/x
  3. Step 3: Cross multiply
    468,091x = 702,165.64 × 187,571.80
  4. Step 4: Simplify right side
    468,091x = 131,706,472,992.95
  5. Step 5: Solve for x
    x = 131,706,472,992.95/468,091
  6. Step 6: Final answer
    x = 281,369.38

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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.