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Finding the Fourth Proportional to 313,096.84, 469,271.59 and 170,977.90

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Solution

The fourth proportional to 313,096.84, 469,271.59 and 170,977.90 is: 256,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,096.84 : 469,271.59 = 170,977.90 : x
  2. Step 2: Convert to fraction form
    313,096.84/469,271.59 = 170,977.90/x
  3. Step 3: Cross multiply
    313,096.84x = 469,271.59 × 170,977.90
  4. Step 4: Simplify right side
    313,096.84x = 80,235,070,987.86
  5. Step 5: Solve for x
    x = 80,235,070,987.86/313,096.84
  6. Step 6: Final answer
    x = 256,262.79

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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.