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Finding the Fourth Proportional to 470,969.16, 649,917.66 and 267,033.78

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Solution

The fourth proportional to 470,969.16, 649,917.66 and 267,033.78 is: 368,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,969.16 : 649,917.66 = 267,033.78 : x
  2. Step 2: Convert to fraction form
    470,969.16/649,917.66 = 267,033.78/x
  3. Step 3: Cross multiply
    470,969.16x = 649,917.66 × 267,033.78
  4. Step 4: Simplify right side
    470,969.16x = 173,549,969,438.56
  5. Step 5: Solve for x
    x = 173,549,969,438.56/470,969.16
  6. Step 6: Final answer
    x = 368,495.40

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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.