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Finding the Fourth Proportional to 383,467.76, 575,203 and 117,227.28

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Solution

The fourth proportional to 383,467.76, 575,203 and 117,227.28 is: 175,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,467.76 : 575,203 = 117,227.28 : x
  2. Step 2: Convert to fraction form
    383,467.76/575,203 = 117,227.28/x
  3. Step 3: Cross multiply
    383,467.76x = 575,203 × 117,227.28
  4. Step 4: Simplify right side
    383,467.76x = 67,429,483,137.84
  5. Step 5: Solve for x
    x = 67,429,483,137.84/383,467.76
  6. Step 6: Final answer
    x = 175,841.34

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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.