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Finding the Fourth Proportional to 474,673.56, 711,224.10 and 333,743.64

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Solution

The fourth proportional to 474,673.56, 711,224.10 and 333,743.64 is: 500,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,673.56 : 711,224.10 = 333,743.64 : x
  2. Step 2: Convert to fraction form
    474,673.56/711,224.10 = 333,743.64/x
  3. Step 3: Cross multiply
    474,673.56x = 711,224.10 × 333,743.64
  4. Step 4: Simplify right side
    474,673.56x = 237,366,519,989.72
  5. Step 5: Solve for x
    x = 237,366,519,989.72/474,673.56
  6. Step 6: Final answer
    x = 500,062.65

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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.