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Finding the Fourth Proportional to 299,527.48, 449,140.98 and 99,777.64

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Solution

The fourth proportional to 299,527.48, 449,140.98 and 99,777.64 is: 149,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,527.48 : 449,140.98 = 99,777.64 : x
  2. Step 2: Convert to fraction form
    299,527.48/449,140.98 = 99,777.64/x
  3. Step 3: Cross multiply
    299,527.48x = 449,140.98 × 99,777.64
  4. Step 4: Simplify right side
    299,527.48x = 44,814,227,011.69
  5. Step 5: Solve for x
    x = 44,814,227,011.69/299,527.48
  6. Step 6: Final answer
    x = 149,616.41

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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.