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Finding the Fourth Proportional to 405,842.41, 559,818.57 and 268,022.60

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Solution

The fourth proportional to 405,842.41, 559,818.57 and 268,022.60 is: 369,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.41 : 559,818.57 = 268,022.60 : x
  2. Step 2: Convert to fraction form
    405,842.41/559,818.57 = 268,022.60/x
  3. Step 3: Cross multiply
    405,842.41x = 559,818.57 × 268,022.60
  4. Step 4: Simplify right side
    405,842.41x = 150,044,028,659.68
  5. Step 5: Solve for x
    x = 150,044,028,659.68/405,842.41
  6. Step 6: Final answer
    x = 369,710.08

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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.