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Finding the Fourth Proportional to 534,647.12, 801,980.92 and 174,819.32

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Solution

The fourth proportional to 534,647.12, 801,980.92 and 174,819.32 is: 262,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,647.12 : 801,980.92 = 174,819.32 : x
  2. Step 2: Convert to fraction form
    534,647.12/801,980.92 = 174,819.32/x
  3. Step 3: Cross multiply
    534,647.12x = 801,980.92 × 174,819.32
  4. Step 4: Simplify right side
    534,647.12x = 140,201,755,077.47
  5. Step 5: Solve for x
    x = 140,201,755,077.47/534,647.12
  6. Step 6: Final answer
    x = 262,232.32

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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.