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Finding the Fourth Proportional to 262,002.60, 361,292.40 and 194,205.60

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Solution

The fourth proportional to 262,002.60, 361,292.40 and 194,205.60 is: 267,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,002.60 : 361,292.40 = 194,205.60 : x
  2. Step 2: Convert to fraction form
    262,002.60/361,292.40 = 194,205.60/x
  3. Step 3: Cross multiply
    262,002.60x = 361,292.40 × 194,205.60
  4. Step 4: Simplify right side
    262,002.60x = 70,165,007,317.44
  5. Step 5: Solve for x
    x = 70,165,007,317.44/262,002.60
  6. Step 6: Final answer
    x = 267,802.71

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1.5x scale

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.