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Finding the Fourth Proportional to 394,740, 544,708.09 and 233,566.81

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Solution

The fourth proportional to 394,740, 544,708.09 and 233,566.81 is: 322,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,740 : 544,708.09 = 233,566.81 : x
  2. Step 2: Convert to fraction form
    394,740/544,708.09 = 233,566.81/x
  3. Step 3: Cross multiply
    394,740x = 544,708.09 × 233,566.81
  4. Step 4: Simplify right side
    394,740x = 127,225,729,892.68
  5. Step 5: Solve for x
    x = 127,225,729,892.68/394,740
  6. Step 6: Final answer
    x = 322,302.60

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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.