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Finding the Fourth Proportional to 493,462.64, 680,978.26 and 267,108.14

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Solution

The fourth proportional to 493,462.64, 680,978.26 and 267,108.14 is: 368,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,462.64 : 680,978.26 = 267,108.14 : x
  2. Step 2: Convert to fraction form
    493,462.64/680,978.26 = 267,108.14/x
  3. Step 3: Cross multiply
    493,462.64x = 680,978.26 × 267,108.14
  4. Step 4: Simplify right side
    493,462.64x = 181,894,836,409.04
  5. Step 5: Solve for x
    x = 181,894,836,409.04/493,462.64
  6. Step 6: Final answer
    x = 368,609.13

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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.