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Finding the Fourth Proportional to 405,871.73, 609,017.65 and 294,471.41

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Solution

The fourth proportional to 405,871.73, 609,017.65 and 294,471.41 is: 441,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,871.73 : 609,017.65 = 294,471.41 : x
  2. Step 2: Convert to fraction form
    405,871.73/609,017.65 = 294,471.41/x
  3. Step 3: Cross multiply
    405,871.73x = 609,017.65 × 294,471.41
  4. Step 4: Simplify right side
    405,871.73x = 179,338,284,638.03
  5. Step 5: Solve for x
    x = 179,338,284,638.03/405,871.73
  6. Step 6: Final answer
    x = 441,859.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.