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Finding the Fourth Proportional to 383,932.65, 576,009.63 and 117,732.41

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Solution

The fourth proportional to 383,932.65, 576,009.63 and 117,732.41 is: 176,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,932.65 : 576,009.63 = 117,732.41 : x
  2. Step 2: Convert to fraction form
    383,932.65/576,009.63 = 117,732.41/x
  3. Step 3: Cross multiply
    383,932.65x = 576,009.63 × 117,732.41
  4. Step 4: Simplify right side
    383,932.65x = 67,814,999,043.06
  5. Step 5: Solve for x
    x = 67,814,999,043.06/383,932.65
  6. Step 6: Final answer
    x = 176,632.54

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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.