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Finding the Fourth Proportional to 311,524.40, 429,905.36 and 175,560.46

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Solution

The fourth proportional to 311,524.40, 429,905.36 and 175,560.46 is: 242,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,524.40 : 429,905.36 = 175,560.46 : x
  2. Step 2: Convert to fraction form
    311,524.40/429,905.36 = 175,560.46/x
  3. Step 3: Cross multiply
    311,524.40x = 429,905.36 × 175,560.46
  4. Step 4: Simplify right side
    311,524.40x = 75,474,382,758.07
  5. Step 5: Solve for x
    x = 75,474,382,758.07/311,524.40
  6. Step 6: Final answer
    x = 242,274.39

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1.5x scale

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.