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Finding the Fourth Proportional to 310,707.20, 464,989.92 and 190,684.48

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Solution

The fourth proportional to 310,707.20, 464,989.92 and 190,684.48 is: 285,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,707.20 : 464,989.92 = 190,684.48 : x
  2. Step 2: Convert to fraction form
    310,707.20/464,989.92 = 190,684.48/x
  3. Step 3: Cross multiply
    310,707.20x = 464,989.92 × 190,684.48
  4. Step 4: Simplify right side
    310,707.20x = 88,666,361,100.44
  5. Step 5: Solve for x
    x = 88,666,361,100.44/310,707.20
  6. Step 6: Final answer
    x = 285,369.51

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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.