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Finding the Fourth Proportional to 295,812.96, 408,305.46 and 174,996.20

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Solution

The fourth proportional to 295,812.96, 408,305.46 and 174,996.20 is: 241,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,812.96 : 408,305.46 = 174,996.20 : x
  2. Step 2: Convert to fraction form
    295,812.96/408,305.46 = 174,996.20/x
  3. Step 3: Cross multiply
    295,812.96x = 408,305.46 × 174,996.20
  4. Step 4: Simplify right side
    295,812.96x = 71,451,901,897.72
  5. Step 5: Solve for x
    x = 71,451,901,897.72/295,812.96
  6. Step 6: Final answer
    x = 241,544.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.