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Finding the Fourth Proportional to 383,256.80, 574,971.60 and 117,029.60

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Solution

The fourth proportional to 383,256.80, 574,971.60 and 117,029.60 is: 175,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,256.80 : 574,971.60 = 117,029.60 : x
  2. Step 2: Convert to fraction form
    383,256.80/574,971.60 = 117,029.60/x
  3. Step 3: Cross multiply
    383,256.80x = 574,971.60 × 117,029.60
  4. Step 4: Simplify right side
    383,256.80x = 67,288,696,359.36
  5. Step 5: Solve for x
    x = 67,288,696,359.36/383,256.80
  6. Step 6: Final answer
    x = 175,570.78

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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.