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Finding the Fourth Proportional to 295,057.80, 442,586.70 and 188,769.60

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Solution

The fourth proportional to 295,057.80, 442,586.70 and 188,769.60 is: 283,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,057.80 : 442,586.70 = 188,769.60 : x
  2. Step 2: Convert to fraction form
    295,057.80/442,586.70 = 188,769.60/x
  3. Step 3: Cross multiply
    295,057.80x = 442,586.70 × 188,769.60
  4. Step 4: Simplify right side
    295,057.80x = 83,546,914,324.32
  5. Step 5: Solve for x
    x = 83,546,914,324.32/295,057.80
  6. Step 6: Final answer
    x = 283,154.40

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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.