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Finding the Fourth Proportional to 383,584.91, 575,356.51 and 117,345.42

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Solution

The fourth proportional to 383,584.91, 575,356.51 and 117,345.42 is: 176,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584.91 : 575,356.51 = 117,345.42 : x
  2. Step 2: Convert to fraction form
    383,584.91/575,356.51 = 117,345.42/x
  3. Step 3: Cross multiply
    383,584.91x = 575,356.51 × 117,345.42
  4. Step 4: Simplify right side
    383,584.91x = 67,515,451,315.68
  5. Step 5: Solve for x
    x = 67,515,451,315.68/383,584.91
  6. Step 6: Final answer
    x = 176,011.75

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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.