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Finding the Fourth Proportional to 470,080.88, 705,401.51 and 170,584.83

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Solution

The fourth proportional to 470,080.88, 705,401.51 and 170,584.83 is: 255,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,080.88 : 705,401.51 = 170,584.83 : x
  2. Step 2: Convert to fraction form
    470,080.88/705,401.51 = 170,584.83/x
  3. Step 3: Cross multiply
    470,080.88x = 705,401.51 × 170,584.83
  4. Step 4: Simplify right side
    470,080.88x = 120,330,795,812.17
  5. Step 5: Solve for x
    x = 120,330,795,812.17/470,080.88
  6. Step 6: Final answer
    x = 255,978.92

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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.