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Finding the Fourth Proportional to 599,150.32, 827,164.92 and 415,654

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Solution

The fourth proportional to 599,150.32, 827,164.92 and 415,654 is: 573,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,150.32 : 827,164.92 = 415,654 : x
  2. Step 2: Convert to fraction form
    599,150.32/827,164.92 = 415,654/x
  3. Step 3: Cross multiply
    599,150.32x = 827,164.92 × 415,654
  4. Step 4: Simplify right side
    599,150.32x = 343,814,407,657.68
  5. Step 5: Solve for x
    x = 343,814,407,657.68/599,150.32
  6. Step 6: Final answer
    x = 573,836.64

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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.