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Finding the Fourth Proportional to 384,251.88, 576,365.52 and 173,889.81

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Solution

The fourth proportional to 384,251.88, 576,365.52 and 173,889.81 is: 260,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,251.88 : 576,365.52 = 173,889.81 : x
  2. Step 2: Convert to fraction form
    384,251.88/576,365.52 = 173,889.81/x
  3. Step 3: Cross multiply
    384,251.88x = 576,365.52 × 173,889.81
  4. Step 4: Simplify right side
    384,251.88x = 100,224,090,763.35
  5. Step 5: Solve for x
    x = 100,224,090,763.35/384,251.88
  6. Step 6: Final answer
    x = 260,829.15

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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.