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Finding the Fourth Proportional to 599,323.09, 827,091 and 344,674.48

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Solution

The fourth proportional to 599,323.09, 827,091 and 344,674.48 is: 475,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,323.09 : 827,091 = 344,674.48 : x
  2. Step 2: Convert to fraction form
    599,323.09/827,091 = 344,674.48/x
  3. Step 3: Cross multiply
    599,323.09x = 827,091 × 344,674.48
  4. Step 4: Simplify right side
    599,323.09x = 285,077,160,337.68
  5. Step 5: Solve for x
    x = 285,077,160,337.68/599,323.09
  6. Step 6: Final answer
    x = 475,665.24

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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.