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Finding the Fourth Proportional to 430,076.06, 593,520.24 and 236,498.54

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Solution

The fourth proportional to 430,076.06, 593,520.24 and 236,498.54 is: 326,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,076.06 : 593,520.24 = 236,498.54 : x
  2. Step 2: Convert to fraction form
    430,076.06/593,520.24 = 236,498.54/x
  3. Step 3: Cross multiply
    430,076.06x = 593,520.24 × 236,498.54
  4. Step 4: Simplify right side
    430,076.06x = 140,366,670,220.45
  5. Step 5: Solve for x
    x = 140,366,670,220.45/430,076.06
  6. Step 6: Final answer
    x = 326,376.39

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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.