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Finding the Fourth Proportional to 539,101.60, 809,235.60 and 339,647.20

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Solution

The fourth proportional to 539,101.60, 809,235.60 and 339,647.20 is: 509,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,101.60 : 809,235.60 = 339,647.20 : x
  2. Step 2: Convert to fraction form
    539,101.60/809,235.60 = 339,647.20/x
  3. Step 3: Cross multiply
    539,101.60x = 809,235.60 × 339,647.20
  4. Step 4: Simplify right side
    539,101.60x = 274,854,605,680.32
  5. Step 5: Solve for x
    x = 274,854,605,680.32/539,101.60
  6. Step 6: Final answer
    x = 509,838.23

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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.