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Finding the Fourth Proportional to 411,133.52, 567,459.06 and 267,643.64

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Solution

The fourth proportional to 411,133.52, 567,459.06 and 267,643.64 is: 369,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,133.52 : 567,459.06 = 267,643.64 : x
  2. Step 2: Convert to fraction form
    411,133.52/567,459.06 = 267,643.64/x
  3. Step 3: Cross multiply
    411,133.52x = 567,459.06 × 267,643.64
  4. Step 4: Simplify right side
    411,133.52x = 151,876,808,369.38
  5. Step 5: Solve for x
    x = 151,876,808,369.38/411,133.52
  6. Step 6: Final answer
    x = 369,409.94

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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.