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Finding the Fourth Proportional to 384,776.31, 577,172.67 and 132,055.71

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Solution

The fourth proportional to 384,776.31, 577,172.67 and 132,055.71 is: 198,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,776.31 : 577,172.67 = 132,055.71 : x
  2. Step 2: Convert to fraction form
    384,776.31/577,172.67 = 132,055.71/x
  3. Step 3: Cross multiply
    384,776.31x = 577,172.67 × 132,055.71
  4. Step 4: Simplify right side
    384,776.31x = 76,218,946,729.45
  5. Step 5: Solve for x
    x = 76,218,946,729.45/384,776.31
  6. Step 6: Final answer
    x = 198,086.38

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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.