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Finding the Fourth Proportional to 471,892.30, 651,188.37 and 267,916.48

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Solution

The fourth proportional to 471,892.30, 651,188.37 and 267,916.48 is: 369,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,892.30 : 651,188.37 = 267,916.48 : x
  2. Step 2: Convert to fraction form
    471,892.30/651,188.37 = 267,916.48/x
  3. Step 3: Cross multiply
    471,892.30x = 651,188.37 × 267,916.48
  4. Step 4: Simplify right side
    471,892.30x = 174,464,095,907.34
  5. Step 5: Solve for x
    x = 174,464,095,907.34/471,892.30
  6. Step 6: Final answer
    x = 369,711.68

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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.