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Finding the Fourth Proportional to 539,097.60, 809,229.60 and 339,643.20

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Solution

The fourth proportional to 539,097.60, 809,229.60 and 339,643.20 is: 509,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,097.60 : 809,229.60 = 339,643.20 : x
  2. Step 2: Convert to fraction form
    539,097.60/809,229.60 = 339,643.20/x
  3. Step 3: Cross multiply
    539,097.60x = 809,229.60 × 339,643.20
  4. Step 4: Simplify right side
    539,097.60x = 274,849,330,878.72
  5. Step 5: Solve for x
    x = 274,849,330,878.72/539,097.60
  6. Step 6: Final answer
    x = 509,832.23

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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.