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Finding the Fourth Proportional to 557,438.75, 836,282.71 and 178,382.24

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Solution

The fourth proportional to 557,438.75, 836,282.71 and 178,382.24 is: 267,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,438.75 : 836,282.71 = 178,382.24 : x
  2. Step 2: Convert to fraction form
    557,438.75/836,282.71 = 178,382.24/x
  3. Step 3: Cross multiply
    557,438.75x = 836,282.71 × 178,382.24
  4. Step 4: Simplify right side
    557,438.75x = 149,177,983,083.07
  5. Step 5: Solve for x
    x = 149,177,983,083.07/557,438.75
  6. Step 6: Final answer
    x = 267,613.23

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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.