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Finding the Fourth Proportional to 539,232, 809,044.86 and 314,550.56

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Solution

The fourth proportional to 539,232, 809,044.86 and 314,550.56 is: 471,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,232 : 809,044.86 = 314,550.56 : x
  2. Step 2: Convert to fraction form
    539,232/809,044.86 = 314,550.56/x
  3. Step 3: Cross multiply
    539,232x = 809,044.86 × 314,550.56
  4. Step 4: Simplify right side
    539,232x = 254,485,513,778.12
  5. Step 5: Solve for x
    x = 254,485,513,778.12/539,232
  6. Step 6: Final answer
    x = 471,940.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.