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Finding the Fourth Proportional to 552,655.50, 762,664.62 and 314,191.50

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Solution

The fourth proportional to 552,655.50, 762,664.62 and 314,191.50 is: 433,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,655.50 : 762,664.62 = 314,191.50 : x
  2. Step 2: Convert to fraction form
    552,655.50/762,664.62 = 314,191.50/x
  3. Step 3: Cross multiply
    552,655.50x = 762,664.62 × 314,191.50
  4. Step 4: Simplify right side
    552,655.50x = 239,622,740,954.73
  5. Step 5: Solve for x
    x = 239,622,740,954.73/552,655.50
  6. Step 6: Final answer
    x = 433,584.29

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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.