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Finding the Fourth Proportional to 536,116.80, 804,789.60 and 314,625.60

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Solution

The fourth proportional to 536,116.80, 804,789.60 and 314,625.60 is: 472,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,116.80 : 804,789.60 = 314,625.60 : x
  2. Step 2: Convert to fraction form
    536,116.80/804,789.60 = 314,625.60/x
  3. Step 3: Cross multiply
    536,116.80x = 804,789.60 × 314,625.60
  4. Step 4: Simplify right side
    536,116.80x = 253,207,410,773.76
  5. Step 5: Solve for x
    x = 253,207,410,773.76/536,116.80
  6. Step 6: Final answer
    x = 472,298.97

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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.