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Finding the Fourth Proportional to 552,706.54, 762,749.92 and 310,997.68

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Solution

The fourth proportional to 552,706.54, 762,749.92 and 310,997.68 is: 429,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,706.54 : 762,749.92 = 310,997.68 : x
  2. Step 2: Convert to fraction form
    552,706.54/762,749.92 = 310,997.68/x
  3. Step 3: Cross multiply
    552,706.54x = 762,749.92 × 310,997.68
  4. Step 4: Simplify right side
    552,706.54x = 237,213,452,272.70
  5. Step 5: Solve for x
    x = 237,213,452,272.70/552,706.54
  6. Step 6: Final answer
    x = 429,185.18

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Why These Related Problems?

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