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Finding the Fourth Proportional to 470,743.38, 649,938.67 and 361,653.42

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Solution

The fourth proportional to 470,743.38, 649,938.67 and 361,653.42 is: 499,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,743.38 : 649,938.67 = 361,653.42 : x
  2. Step 2: Convert to fraction form
    470,743.38/649,938.67 = 361,653.42/x
  3. Step 3: Cross multiply
    470,743.38x = 649,938.67 × 361,653.42
  4. Step 4: Simplify right side
    470,743.38x = 235,052,544,420.60
  5. Step 5: Solve for x
    x = 235,052,544,420.60/470,743.38
  6. Step 6: Final answer
    x = 499,322.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.