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Finding the Fourth Proportional to 470,080.38, 705,400.76 and 170,584.33

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Solution

The fourth proportional to 470,080.38, 705,400.76 and 170,584.33 is: 255,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,080.38 : 705,400.76 = 170,584.33 : x
  2. Step 2: Convert to fraction form
    470,080.38/705,400.76 = 170,584.33/x
  3. Step 3: Cross multiply
    470,080.38x = 705,400.76 × 170,584.33
  4. Step 4: Simplify right side
    470,080.38x = 120,330,316,026.09
  5. Step 5: Solve for x
    x = 120,330,316,026.09/470,080.38
  6. Step 6: Final answer
    x = 255,978.17

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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.