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Finding the Fourth Proportional to 470,087.82, 705,474.14 and 170,592.53

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Solution

The fourth proportional to 470,087.82, 705,474.14 and 170,592.53 is: 256,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,087.82 : 705,474.14 = 170,592.53 : x
  2. Step 2: Convert to fraction form
    470,087.82/705,474.14 = 170,592.53/x
  3. Step 3: Cross multiply
    470,087.82x = 705,474.14 × 170,592.53
  4. Step 4: Simplify right side
    470,087.82x = 120,348,614,651.56
  5. Step 5: Solve for x
    x = 120,348,614,651.56/470,087.82
  6. Step 6: Final answer
    x = 256,013.04

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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.