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Finding the Fourth Proportional to 599,148.32, 827,162.16 and 415,652

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Solution

The fourth proportional to 599,148.32, 827,162.16 and 415,652 is: 573,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,148.32 : 827,162.16 = 415,652 : x
  2. Step 2: Convert to fraction form
    599,148.32/827,162.16 = 415,652/x
  3. Step 3: Cross multiply
    599,148.32x = 827,162.16 × 415,652
  4. Step 4: Simplify right side
    599,148.32x = 343,811,606,128.32
  5. Step 5: Solve for x
    x = 343,811,606,128.32/599,148.32
  6. Step 6: Final answer
    x = 573,833.88

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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.