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Finding the Fourth Proportional to 413,872.51, 571,147.82 and 250,532.77

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Solution

The fourth proportional to 413,872.51, 571,147.82 and 250,532.77 is: 345,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,872.51 : 571,147.82 = 250,532.77 : x
  2. Step 2: Convert to fraction form
    413,872.51/571,147.82 = 250,532.77/x
  3. Step 3: Cross multiply
    413,872.51x = 571,147.82 × 250,532.77
  4. Step 4: Simplify right side
    413,872.51x = 143,091,245,424.06
  5. Step 5: Solve for x
    x = 143,091,245,424.06/413,872.51
  6. Step 6: Final answer
    x = 345,737.50

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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.