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Finding the Fourth Proportional to 552,266.88, 827,071.71 and 314,889.90

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Solution

The fourth proportional to 552,266.88, 827,071.71 and 314,889.90 is: 471,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,266.88 : 827,071.71 = 314,889.90 : x
  2. Step 2: Convert to fraction form
    552,266.88/827,071.71 = 314,889.90/x
  3. Step 3: Cross multiply
    552,266.88x = 827,071.71 × 314,889.90
  4. Step 4: Simplify right side
    552,266.88x = 260,436,528,054.73
  5. Step 5: Solve for x
    x = 260,436,528,054.73/552,266.88
  6. Step 6: Final answer
    x = 471,577.31

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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.