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Finding the Fourth Proportional to 413,084.44, 570,010.26 and 231,758.65

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Solution

The fourth proportional to 413,084.44, 570,010.26 and 231,758.65 is: 319,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,084.44 : 570,010.26 = 231,758.65 : x
  2. Step 2: Convert to fraction form
    413,084.44/570,010.26 = 231,758.65/x
  3. Step 3: Cross multiply
    413,084.44x = 570,010.26 × 231,758.65
  4. Step 4: Simplify right side
    413,084.44x = 132,104,808,343.75
  5. Step 5: Solve for x
    x = 132,104,808,343.75/413,084.44
  6. Step 6: Final answer
    x = 319,800.98

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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.