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Finding the Fourth Proportional to 702,754.50, 1,054,160.92 and 204,118.50

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Solution

The fourth proportional to 702,754.50, 1,054,160.92 and 204,118.50 is: 306,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,754.50 : 1,054,160.92 = 204,118.50 : x
  2. Step 2: Convert to fraction form
    702,754.50/1,054,160.92 = 204,118.50/x
  3. Step 3: Cross multiply
    702,754.50x = 1,054,160.92 × 204,118.50
  4. Step 4: Simplify right side
    702,754.50x = 215,173,745,749.02
  5. Step 5: Solve for x
    x = 215,173,745,749.02/702,754.50
  6. Step 6: Final answer
    x = 306,186.22

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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.