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Finding the Fourth Proportional to 384,237.16, 576,348.38 and 173,728.04

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Solution

The fourth proportional to 384,237.16, 576,348.38 and 173,728.04 is: 260,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,237.16 : 576,348.38 = 173,728.04 : x
  2. Step 2: Convert to fraction form
    384,237.16/576,348.38 = 173,728.04/x
  3. Step 3: Cross multiply
    384,237.16x = 576,348.38 × 173,728.04
  4. Step 4: Simplify right side
    384,237.16x = 100,127,874,414.58
  5. Step 5: Solve for x
    x = 100,127,874,414.58/384,237.16
  6. Step 6: Final answer
    x = 260,588.73

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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.