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Finding the Fourth Proportional to 468,242.16, 646,185.24 and 267,033.84

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Solution

The fourth proportional to 468,242.16, 646,185.24 and 267,033.84 is: 368,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,242.16 : 646,185.24 = 267,033.84 : x
  2. Step 2: Convert to fraction form
    468,242.16/646,185.24 = 267,033.84/x
  3. Step 3: Cross multiply
    468,242.16x = 646,185.24 × 267,033.84
  4. Step 4: Simplify right side
    468,242.16x = 172,553,325,988.52
  5. Step 5: Solve for x
    x = 172,553,325,988.52/468,242.16
  6. Step 6: Final answer
    x = 368,513.01

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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.