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Finding the Fourth Proportional to 598,403.22, 825,683.64 and 356,708.28

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Solution

The fourth proportional to 598,403.22, 825,683.64 and 356,708.28 is: 492,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,403.22 : 825,683.64 = 356,708.28 : x
  2. Step 2: Convert to fraction form
    598,403.22/825,683.64 = 356,708.28/x
  3. Step 3: Cross multiply
    598,403.22x = 825,683.64 × 356,708.28
  4. Step 4: Simplify right side
    598,403.22x = 294,528,191,048.54
  5. Step 5: Solve for x
    x = 294,528,191,048.54/598,403.22
  6. Step 6: Final answer
    x = 492,190.18

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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.