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Finding the Fourth Proportional to 384,507.54, 576,815.94 and 118,290.24

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Solution

The fourth proportional to 384,507.54, 576,815.94 and 118,290.24 is: 177,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,507.54 : 576,815.94 = 118,290.24 : x
  2. Step 2: Convert to fraction form
    384,507.54/576,815.94 = 118,290.24/x
  3. Step 3: Cross multiply
    384,507.54x = 576,815.94 × 118,290.24
  4. Step 4: Simplify right side
    384,507.54x = 68,231,695,978.43
  5. Step 5: Solve for x
    x = 68,231,695,978.43/384,507.54
  6. Step 6: Final answer
    x = 177,452.17

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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.