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Finding the Fourth Proportional to 552,108.60, 827,579.70 and 314,940.60

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Solution

The fourth proportional to 552,108.60, 827,579.70 and 314,940.60 is: 472,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,108.60 : 827,579.70 = 314,940.60 : x
  2. Step 2: Convert to fraction form
    552,108.60/827,579.70 = 314,940.60/x
  3. Step 3: Cross multiply
    552,108.60x = 827,579.70 × 314,940.60
  4. Step 4: Simplify right side
    552,108.60x = 260,638,447,265.82
  5. Step 5: Solve for x
    x = 260,638,447,265.82/552,108.60
  6. Step 6: Final answer
    x = 472,078.22

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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.