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Finding the Fourth Proportional to 449,192.94, 674,683.65 and 281,011.02

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Solution

The fourth proportional to 449,192.94, 674,683.65 and 281,011.02 is: 422,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,192.94 : 674,683.65 = 281,011.02 : x
  2. Step 2: Convert to fraction form
    449,192.94/674,683.65 = 281,011.02/x
  3. Step 3: Cross multiply
    449,192.94x = 674,683.65 × 281,011.02
  4. Step 4: Simplify right side
    449,192.94x = 189,593,540,663.82
  5. Step 5: Solve for x
    x = 189,593,540,663.82/449,192.94
  6. Step 6: Final answer
    x = 422,075.96

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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.