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Finding the Fourth Proportional to 310,383.64, 465,388.35 and 202,393.23

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Solution

The fourth proportional to 310,383.64, 465,388.35 and 202,393.23 is: 303,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,383.64 : 465,388.35 = 202,393.23 : x
  2. Step 2: Convert to fraction form
    310,383.64/465,388.35 = 202,393.23/x
  3. Step 3: Cross multiply
    310,383.64x = 465,388.35 × 202,393.23
  4. Step 4: Simplify right side
    310,383.64x = 94,191,451,360.87
  5. Step 5: Solve for x
    x = 94,191,451,360.87/310,383.64
  6. Step 6: Final answer
    x = 303,467.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.