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Finding the Fourth Proportional to 470,955.64, 649,899.02 and 267,020.28

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Solution

The fourth proportional to 470,955.64, 649,899.02 and 267,020.28 is: 368,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,955.64 : 649,899.02 = 267,020.28 : x
  2. Step 2: Convert to fraction form
    470,955.64/649,899.02 = 267,020.28/x
  3. Step 3: Cross multiply
    470,955.64x = 649,899.02 × 267,020.28
  4. Step 4: Simplify right side
    470,955.64x = 173,536,218,292.13
  5. Step 5: Solve for x
    x = 173,536,218,292.13/470,955.64
  6. Step 6: Final answer
    x = 368,476.78

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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.