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Finding the Fourth Proportional to 321,606.40, 482,432.82 and 84,946

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Solution

The fourth proportional to 321,606.40, 482,432.82 and 84,946 is: 127,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,606.40 : 482,432.82 = 84,946 : x
  2. Step 2: Convert to fraction form
    321,606.40/482,432.82 = 84,946/x
  3. Step 3: Cross multiply
    321,606.40x = 482,432.82 × 84,946
  4. Step 4: Simplify right side
    321,606.40x = 40,980,738,327.72
  5. Step 5: Solve for x
    x = 40,980,738,327.72/321,606.40
  6. Step 6: Final answer
    x = 127,425.13

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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.