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Finding the Fourth Proportional to 287,594.30, 431,391.45 and 267,911.30

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Solution

The fourth proportional to 287,594.30, 431,391.45 and 267,911.30 is: 401,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,594.30 : 431,391.45 = 267,911.30 : x
  2. Step 2: Convert to fraction form
    287,594.30/431,391.45 = 267,911.30/x
  3. Step 3: Cross multiply
    287,594.30x = 431,391.45 × 267,911.30
  4. Step 4: Simplify right side
    287,594.30x = 115,574,644,178.39
  5. Step 5: Solve for x
    x = 115,574,644,178.39/287,594.30
  6. Step 6: Final answer
    x = 401,866.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.