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Finding the Fourth Proportional to 471,523.41, 707,432.81 and 303,233.76

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Solution

The fourth proportional to 471,523.41, 707,432.81 and 303,233.76 is: 454,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.41 : 707,432.81 = 303,233.76 : x
  2. Step 2: Convert to fraction form
    471,523.41/707,432.81 = 303,233.76/x
  3. Step 3: Cross multiply
    471,523.41x = 707,432.81 × 303,233.76
  4. Step 4: Simplify right side
    471,523.41x = 214,517,509,407.50
  5. Step 5: Solve for x
    x = 214,517,509,407.50/471,523.41
  6. Step 6: Final answer
    x = 454,945.62

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Why These Related Problems?

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