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Finding the Fourth Proportional to 413,537.50, 570,694.60 and 232,253.36

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Solution

The fourth proportional to 413,537.50, 570,694.60 and 232,253.36 is: 320,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,537.50 : 570,694.60 = 232,253.36 : x
  2. Step 2: Convert to fraction form
    413,537.50/570,694.60 = 232,253.36/x
  3. Step 3: Cross multiply
    413,537.50x = 570,694.60 × 232,253.36
  4. Step 4: Simplify right side
    413,537.50x = 132,545,738,383.86
  5. Step 5: Solve for x
    x = 132,545,738,383.86/413,537.50
  6. Step 6: Final answer
    x = 320,516.85

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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.