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Finding the Fourth Proportional to 470,853.60, 706,021.20 and 190,053.60

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Solution

The fourth proportional to 470,853.60, 706,021.20 and 190,053.60 is: 284,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,853.60 : 706,021.20 = 190,053.60 : x
  2. Step 2: Convert to fraction form
    470,853.60/706,021.20 = 190,053.60/x
  3. Step 3: Cross multiply
    470,853.60x = 706,021.20 × 190,053.60
  4. Step 4: Simplify right side
    470,853.60x = 134,181,870,736.32
  5. Step 5: Solve for x
    x = 134,181,870,736.32/470,853.60
  6. Step 6: Final answer
    x = 284,975.78

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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.