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Finding the Fourth Proportional to 313,096.34, 469,270.85 and 170,977.40

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Solution

The fourth proportional to 313,096.34, 469,270.85 and 170,977.40 is: 256,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,096.34 : 469,270.85 = 170,977.40 : x
  2. Step 2: Convert to fraction form
    313,096.34/469,270.85 = 170,977.40/x
  3. Step 3: Cross multiply
    313,096.34x = 469,270.85 × 170,977.40
  4. Step 4: Simplify right side
    313,096.34x = 80,234,709,828.79
  5. Step 5: Solve for x
    x = 80,234,709,828.79/313,096.34
  6. Step 6: Final answer
    x = 256,262.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.