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Finding the Fourth Proportional to 442,329.88, 610,222.74 and 281,098.48

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Solution

The fourth proportional to 442,329.88, 610,222.74 and 281,098.48 is: 387,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,329.88 : 610,222.74 = 281,098.48 : x
  2. Step 2: Convert to fraction form
    442,329.88/610,222.74 = 281,098.48/x
  3. Step 3: Cross multiply
    442,329.88x = 610,222.74 × 281,098.48
  4. Step 4: Simplify right side
    442,329.88x = 171,532,684,675.44
  5. Step 5: Solve for x
    x = 171,532,684,675.44/442,329.88
  6. Step 6: Final answer
    x = 387,793.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.