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Finding the Fourth Proportional to 535,680.30, 739,260.14 and 293,971.53

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Solution

The fourth proportional to 535,680.30, 739,260.14 and 293,971.53 is: 405,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,680.30 : 739,260.14 = 293,971.53 : x
  2. Step 2: Convert to fraction form
    535,680.30/739,260.14 = 293,971.53/x
  3. Step 3: Cross multiply
    535,680.30x = 739,260.14 × 293,971.53
  4. Step 4: Simplify right side
    535,680.30x = 217,321,434,423.81
  5. Step 5: Solve for x
    x = 217,321,434,423.81/535,680.30
  6. Step 6: Final answer
    x = 405,692.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.