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Finding the Fourth Proportional to 320,823.84, 480,965.06 and 202,233.72

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Solution

The fourth proportional to 320,823.84, 480,965.06 and 202,233.72 is: 303,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,823.84 : 480,965.06 = 202,233.72 : x
  2. Step 2: Convert to fraction form
    320,823.84/480,965.06 = 202,233.72/x
  3. Step 3: Cross multiply
    320,823.84x = 480,965.06 × 202,233.72
  4. Step 4: Simplify right side
    320,823.84x = 97,267,353,273.82
  5. Step 5: Solve for x
    x = 97,267,353,273.82/320,823.84
  6. Step 6: Final answer
    x = 303,179.94

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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.