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Finding the Fourth Proportional to 311,760.04, 430,212.72 and 175,790.20

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Solution

The fourth proportional to 311,760.04, 430,212.72 and 175,790.20 is: 242,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,760.04 : 430,212.72 = 175,790.20 : x
  2. Step 2: Convert to fraction form
    311,760.04/430,212.72 = 175,790.20/x
  3. Step 3: Cross multiply
    311,760.04x = 430,212.72 × 175,790.20
  4. Step 4: Simplify right side
    311,760.04x = 75,627,180,091.34
  5. Step 5: Solve for x
    x = 75,627,180,091.34/311,760.04
  6. Step 6: Final answer
    x = 242,581.38

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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.