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Finding the Fourth Proportional to 311,056.88, 429,272.46 and 175,137.56

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Solution

The fourth proportional to 311,056.88, 429,272.46 and 175,137.56 is: 241,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,056.88 : 429,272.46 = 175,137.56 : x
  2. Step 2: Convert to fraction form
    311,056.88/429,272.46 = 175,137.56/x
  3. Step 3: Cross multiply
    311,056.88x = 429,272.46 × 175,137.56
  4. Step 4: Simplify right side
    311,056.88x = 75,181,731,219.60
  5. Step 5: Solve for x
    x = 75,181,731,219.60/311,056.88
  6. Step 6: Final answer
    x = 241,697.70

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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.