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Finding the Fourth Proportional to 470,953.64, 649,896.26 and 267,018.28

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Solution

The fourth proportional to 470,953.64, 649,896.26 and 267,018.28 is: 368,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,953.64 : 649,896.26 = 267,018.28 : x
  2. Step 2: Convert to fraction form
    470,953.64/649,896.26 = 267,018.28/x
  3. Step 3: Cross multiply
    470,953.64x = 649,896.26 × 267,018.28
  4. Step 4: Simplify right side
    470,953.64x = 173,534,181,523.63
  5. Step 5: Solve for x
    x = 173,534,181,523.63/470,953.64
  6. Step 6: Final answer
    x = 368,474.02

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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.