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Finding the Fourth Proportional to 509,470.40, 764,205.60 and 273,274.40

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Solution

The fourth proportional to 509,470.40, 764,205.60 and 273,274.40 is: 409,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,470.40 : 764,205.60 = 273,274.40 : x
  2. Step 2: Convert to fraction form
    509,470.40/764,205.60 = 273,274.40/x
  3. Step 3: Cross multiply
    509,470.40x = 764,205.60 × 273,274.40
  4. Step 4: Simplify right side
    509,470.40x = 208,837,826,816.64
  5. Step 5: Solve for x
    x = 208,837,826,816.64/509,470.40
  6. Step 6: Final answer
    x = 409,911.60

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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.