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Finding the Fourth Proportional to 489,432, 734,060.20 and 129,605.12

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Solution

The fourth proportional to 489,432, 734,060.20 and 129,605.12 is: 194,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,432 : 734,060.20 = 129,605.12 : x
  2. Step 2: Convert to fraction form
    489,432/734,060.20 = 129,605.12/x
  3. Step 3: Cross multiply
    489,432x = 734,060.20 × 129,605.12
  4. Step 4: Simplify right side
    489,432x = 95,137,960,308.22
  5. Step 5: Solve for x
    x = 95,137,960,308.22/489,432
  6. Step 6: Final answer
    x = 194,384.43

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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.