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Finding the Fourth Proportional to 292,571.28, 403,743.51 and 163,512.81

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Solution

The fourth proportional to 292,571.28, 403,743.51 and 163,512.81 is: 225,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,571.28 : 403,743.51 = 163,512.81 : x
  2. Step 2: Convert to fraction form
    292,571.28/403,743.51 = 163,512.81/x
  3. Step 3: Cross multiply
    292,571.28x = 403,743.51 × 163,512.81
  4. Step 4: Simplify right side
    292,571.28x = 66,017,235,839.36
  5. Step 5: Solve for x
    x = 66,017,235,839.36/292,571.28
  6. Step 6: Final answer
    x = 225,644.96

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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.