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Finding the Fourth Proportional to 311,892.44, 430,411.05 and 175,925.96

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Solution

The fourth proportional to 311,892.44, 430,411.05 and 175,925.96 is: 242,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,892.44 : 430,411.05 = 175,925.96 : x
  2. Step 2: Convert to fraction form
    311,892.44/430,411.05 = 175,925.96/x
  3. Step 3: Cross multiply
    311,892.44x = 430,411.05 × 175,925.96
  4. Step 4: Simplify right side
    311,892.44x = 75,720,476,627.84
  5. Step 5: Solve for x
    x = 75,720,476,627.84/311,892.44
  6. Step 6: Final answer
    x = 242,777.54

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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.