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Finding the Fourth Proportional to 383,557.14, 575,400.24 and 117,255.33

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Solution

The fourth proportional to 383,557.14, 575,400.24 and 117,255.33 is: 175,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,557.14 : 575,400.24 = 117,255.33 : x
  2. Step 2: Convert to fraction form
    383,557.14/575,400.24 = 117,255.33/x
  3. Step 3: Cross multiply
    383,557.14x = 575,400.24 × 117,255.33
  4. Step 4: Simplify right side
    383,557.14x = 67,468,745,023.28
  5. Step 5: Solve for x
    x = 67,468,745,023.28/383,557.14
  6. Step 6: Final answer
    x = 175,902.72

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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.