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Finding the Fourth Proportional to 432,201.36, 595,724.01 and 288,909.12

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Solution

The fourth proportional to 432,201.36, 595,724.01 and 288,909.12 is: 398,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,201.36 : 595,724.01 = 288,909.12 : x
  2. Step 2: Convert to fraction form
    432,201.36/595,724.01 = 288,909.12/x
  3. Step 3: Cross multiply
    432,201.36x = 595,724.01 × 288,909.12
  4. Step 4: Simplify right side
    432,201.36x = 172,110,099,491.97
  5. Step 5: Solve for x
    x = 172,110,099,491.97/432,201.36
  6. Step 6: Final answer
    x = 398,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.