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Finding the Fourth Proportional to 931,862, 1,397,793 and 267,014

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Solution

The fourth proportional to 931,862, 1,397,793 and 267,014 is: 400,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,862 : 1,397,793 = 267,014 : x
  2. Step 2: Convert to fraction form
    931,862/1,397,793 = 267,014/x
  3. Step 3: Cross multiply
    931,862x = 1,397,793 × 267,014
  4. Step 4: Simplify right side
    931,862x = 373,230,300,102
  5. Step 5: Solve for x
    x = 373,230,300,102/931,862
  6. Step 6: Final answer
    x = 400,521

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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.