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Finding the Fourth Proportional to 383,584.25, 575,355.50 and 117,344.77

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Solution

The fourth proportional to 383,584.25, 575,355.50 and 117,344.77 is: 176,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584.25 : 575,355.50 = 117,344.77 : x
  2. Step 2: Convert to fraction form
    383,584.25/575,355.50 = 117,344.77/x
  3. Step 3: Cross multiply
    383,584.25x = 575,355.50 × 117,344.77
  4. Step 4: Simplify right side
    383,584.25x = 67,514,955,352.23
  5. Step 5: Solve for x
    x = 67,514,955,352.23/383,584.25
  6. Step 6: Final answer
    x = 176,010.76

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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.