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Finding the Fourth Proportional to 407,137.60, 561,765.73 and 235,052.58

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Solution

The fourth proportional to 407,137.60, 561,765.73 and 235,052.58 is: 324,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,137.60 : 561,765.73 = 235,052.58 : x
  2. Step 2: Convert to fraction form
    407,137.60/561,765.73 = 235,052.58/x
  3. Step 3: Cross multiply
    407,137.60x = 561,765.73 × 235,052.58
  4. Step 4: Simplify right side
    407,137.60x = 132,044,484,192.08
  5. Step 5: Solve for x
    x = 132,044,484,192.08/407,137.60
  6. Step 6: Final answer
    x = 324,323.97

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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.