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Finding the Fourth Proportional to 299,674.16, 449,360.76 and 99,923.84

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Solution

The fourth proportional to 299,674.16, 449,360.76 and 99,923.84 is: 149,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,674.16 : 449,360.76 = 99,923.84 : x
  2. Step 2: Convert to fraction form
    299,674.16/449,360.76 = 99,923.84/x
  3. Step 3: Cross multiply
    299,674.16x = 449,360.76 × 99,923.84
  4. Step 4: Simplify right side
    299,674.16x = 44,901,852,684.52
  5. Step 5: Solve for x
    x = 44,901,852,684.52/299,674.16
  6. Step 6: Final answer
    x = 149,835.58

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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.