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Finding the Fourth Proportional to 509,585.63, 764,470.38 and 209,902.64

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Solution

The fourth proportional to 509,585.63, 764,470.38 and 209,902.64 is: 314,891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,585.63 : 764,470.38 = 209,902.64 : x
  2. Step 2: Convert to fraction form
    509,585.63/764,470.38 = 209,902.64/x
  3. Step 3: Cross multiply
    509,585.63x = 764,470.38 × 209,902.64
  4. Step 4: Simplify right side
    509,585.63x = 160,464,350,963.80
  5. Step 5: Solve for x
    x = 160,464,350,963.80/509,585.63
  6. Step 6: Final answer
    x = 314,891.83

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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.