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Finding the Fourth Proportional to 413,083.70, 570,053.94 and 231,795.20

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Solution

The fourth proportional to 413,083.70, 570,053.94 and 231,795.20 is: 319,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,083.70 : 570,053.94 = 231,795.20 : x
  2. Step 2: Convert to fraction form
    413,083.70/570,053.94 = 231,795.20/x
  3. Step 3: Cross multiply
    413,083.70x = 570,053.94 × 231,795.20
  4. Step 4: Simplify right side
    413,083.70x = 132,135,767,588.99
  5. Step 5: Solve for x
    x = 132,135,767,588.99/413,083.70
  6. Step 6: Final answer
    x = 319,876.50

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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.