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Finding the Fourth Proportional to 320,570.24, 480,899.10 and 133,538

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Solution

The fourth proportional to 320,570.24, 480,899.10 and 133,538 is: 200,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,570.24 : 480,899.10 = 133,538 : x
  2. Step 2: Convert to fraction form
    320,570.24/480,899.10 = 133,538/x
  3. Step 3: Cross multiply
    320,570.24x = 480,899.10 × 133,538
  4. Step 4: Simplify right side
    320,570.24x = 64,218,304,015.80
  5. Step 5: Solve for x
    x = 64,218,304,015.80/320,570.24
  6. Step 6: Final answer
    x = 200,325.22

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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.