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Finding the Fourth Proportional to 534,657.30, 802,201.95 and 235,194.90

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Solution

The fourth proportional to 534,657.30, 802,201.95 and 235,194.90 is: 352,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,657.30 : 802,201.95 = 235,194.90 : x
  2. Step 2: Convert to fraction form
    534,657.30/802,201.95 = 235,194.90/x
  3. Step 3: Cross multiply
    534,657.30x = 802,201.95 × 235,194.90
  4. Step 4: Simplify right side
    534,657.30x = 188,673,807,410.06
  5. Step 5: Solve for x
    x = 188,673,807,410.06/534,657.30
  6. Step 6: Final answer
    x = 352,887.37

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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.