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Finding the Fourth Proportional to 311,392.27, 429,632.40 and 175,378.60

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Solution

The fourth proportional to 311,392.27, 429,632.40 and 175,378.60 is: 241,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,392.27 : 429,632.40 = 175,378.60 : x
  2. Step 2: Convert to fraction form
    311,392.27/429,632.40 = 175,378.60/x
  3. Step 3: Cross multiply
    311,392.27x = 429,632.40 × 175,378.60
  4. Step 4: Simplify right side
    311,392.27x = 75,348,328,826.64
  5. Step 5: Solve for x
    x = 75,348,328,826.64/311,392.27
  6. Step 6: Final answer
    x = 241,972.38

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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.