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Finding the Fourth Proportional to 345,885.93, 518,986.52 and 177,524.47

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Solution

The fourth proportional to 345,885.93, 518,986.52 and 177,524.47 is: 266,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,885.93 : 518,986.52 = 177,524.47 : x
  2. Step 2: Convert to fraction form
    345,885.93/518,986.52 = 177,524.47/x
  3. Step 3: Cross multiply
    345,885.93x = 518,986.52 × 177,524.47
  4. Step 4: Simplify right side
    345,885.93x = 92,132,806,900.14
  5. Step 5: Solve for x
    x = 92,132,806,900.14/345,885.93
  6. Step 6: Final answer
    x = 266,367.61

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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.